- Office: 39C.170
- Phone: +61 2 4221 5003
- Fax: +61 2 4221 4845
- Email: asims@uow.edu.au
- Address:
- School of Mathematics and Applied Statistics
- University of Wollongong
- NSW 2522 AUSTRALIA
Research Funding
- National competitive grants.
-
2005–2008, A. Sims, Operator algebras associated to product systems, and higher-rank-graph algebras, ARC Discovery–Projects grant (Australian Postdoctoral Fellowship) DP0557243, $221K.
-
2006–2009, D. Pask and A. Sims, Pictures for operator algebras: higher-rank graphs, ARC Discovery–Projects grant DP0665131, $279K .
-
2009–2011 A. Sims, Co-universal operator algebras, ARC Discovery–Projects grant DP0984399, $176K.
-
2009–2011, A. an Huef and A. Sims, Operator algebras associated to groupoids, ARC Discovery–Projects grant DP0984360, $255K. (As of January 2010, this grant is held by Aidan Sims and David Pask; Sims is lead CI.)
-
2010–2014 A. Sims, Operator algebras as models for dynamics and geometry, ARC Future Fellowship FT100100533, $562K.
-
2012–2014 A. Sims and A. Rennie, Invariants for dynamics via operator algebras, ARC Discovery–Projects grant DP120100507, $435K.
-
2012–2014, D. Pask and A. Sims, Cohomology, symbolic dynamics and operator algebras, ARC Discovery–Projects grant DP120100389, $330K.
-
2015–2017 A. Sims, Equilibrium states and fine structure for operator algebras, ARC Discovery–Projects grant DP150101595, $345K.
-
2015–2017, A. Sims, D. Pask and R. Hazrat, Groupoids as bridges between algebra and analysis, ARC Discovery–Projects grant DP150101598, $311K.
-
2018–2020, A. Sims, A. an Huef
and S. White, Taming infinite dimensions: quasidiagonality and nuclear dimension, ARC Discovery–Projects grant DP180100595, $347K.
-
2020–2022, A. Sims, J. Ramagge, D. Pask, N. Brownlowe
and L.O. Clark, There and back again: operator algebras, algebras and dynamical systems, ARC Discovery–Projects grant DP200100155, $461K.
-
2022–2024, A. Sims, Noncommutative analysis for self-similar structure, ARC Discovery–Projects grant DP220101631, $384K.
-
2025–2027, A. Sims, J. Ramagge, N. Brownlowe,
Becky Armstrong, and Anna Duwenig,
A new twist on product decompositions: twisted algebras for Zappa–Szép products., ARC Discovery–Projects grant DP250100297, $574K.
- Other funding.
-
2004–2005, A. Sims, Investigating the structure of C*-algebras associated to higher-rank graphs, University of Newcastle Early Career Researcher Grant, $7K.
-
2009, A. Sims, Stably finite operator algebras associated to graphs, University of Wollongong URC Grant, $9.6K (relinquished on award of ARC DP).
-
2012,
R. Hazrat and A. Sims, Graph C*-algebras, Leavitt path algebras and symbolic dynamics, AMSI workshop funding and AustMS Special Interest Meetings grant, $13.5K.
-
2013, N. Brownlowe,
A. Sims and
M.F. Whittaker,
Operator algebras associated to tilings, UOW University International Collaborations grant, $15K.
-
2016, M. Goffeng,
A. Rennie and
A. Sims,
Refining C*-algebraic invariants for dynamics using KK-theory}, MATRIX@melbourne research program, total funding $25K.
-
2017, N. Brown,
F. Perera,
A. Sims,
S. White, and
W. Winter,
Operator algebras: Dynamics and Interactions, Centre de Recerca Mathemàtica, Universitat Autònoma de Barcelona, total funding €89K.
-
2019, N. Larsen,
M.V. Lawson,
A. Sims and
A. Vdovina,
Higher-rank graphs: geometry, symmetry, dynamics, International Centre for Mathematical Sciences, University of
Edinburgh and Heriott–Watt University, total funding £41K.
-
2023, N. Larsen,
M.V. Lawson,
A. Sims,
A. Vdovina and
M.F. Whittaker
Algebra, Geometry and C*-algebras, International Centre for Mathematical Sciences, University of
Edinburgh and Heriott–Watt University, total funding £43K.
-
2024, A. Duwenig,
A. an Huef,
A. Sims and
D. Yang,
Cartan subalgebras in operator algebras, and topological full groups (24w5175), Banff International Research Station, total funding CAD$50K.
Publications
In the lists below, for those papers where the published version is freely available, the paper title is hyperlinked to a source. The links following the citation are to preprint versions.
- 2001–2005
-
N. J. Fowler
and A. Sims,
Product systems over right-angled Artin semigroups,
Trans. Amer. Math. Soc.
354
(2001),
1487–1509.
[PDF]
-
I. Raeburn,
A. Sims
and T. Yeend,
Higher-rank graphs and their C*-algebras,
Proc. Edinburgh Math. Soc.
46
(2003),
99–115.
[arXiv:math/0107222]
[PDF]
-
I. Raeburn,
A. Sims
and T. Yeend,
The C*-algebras of finitely aligned higher-rank graphs,
J. Funct. Anal.
213
(2004),
206–240.
[arXiv:math/0305370]
[PDF]
-
I. Raeburn
and A. Sims,
Product systems of graphs and the C*-algebras of higher-rank graphs,
J. Operator Th.
53
(2005),
399–429.
[arXiv:math/0305371]
[PDF]
- 2006–2008
-
A. Sims,
Relative Cuntz–Krieger algebras of finitely aligned higher-rank graphs,
Indiana Univ. Math. J.
55
(2006),
849–868.
[arXiv:math/0312152]
[PDF].
-
A. Sims,
Gauge-invariant ideals in the C*-algebras of finitely aligned higher-rank graphs,
Canad. J. Math.
58
(2006),
1268–1290.
[arXiv:math/0406592]
[PDF]
-
D. Pask,
I. Raeburn,
M. Rørdam
and A. Sims,
Rank-2 graphs whose C*-algebras are direct limits of circle algebras,
J. Funct. Anal.
239
(2006),
137–178.
[arXiv:math/0512254]
[PDF]
-
S. Allen,
D. Pask
and A. Sims,
A dual graph construction for higher-rank graphs, and K-theory for finite 2-graphs,
Proc. Amer. Math. Soc.
134
(2006),
455–464.
[arXiv:math/0402126]
[PDF]
-
D. Robertson
and A. Sims,
Simplicity of C*-algebras associated to higher-rank graphs,
Bull. London Math. Soc.
39
(2007)
337–344.
[arXiv:math/0602120]
[PDF]
-
D. Pask
A. Rennie
and A. Sims,
The noncommutative geometry of k-graph C*-algebras,
J. K-theory
1
(2008),
259–304.
[arXiv:math/0512438]
[PDF]
-
A. Kumjian,
D. Pask
and A. Sims,
C*-algebras associated to coverings of k-graphs,
Documenta Math.
13
(2008)
161–205.
[arXiv:math/0612204]
[PDF]
-
T. Katsura,
P. Muhly,
A. Sims
and M. Tomforde,
Ultragraph C*-algebras via topological quivers,
Studia Math.
187
(2008),
137–155.
[arXiv:math/0611318]
[PDF]
- 2009–2010
-
T. Katsura,
A. Sims,
and M. Tomforde,
Realizations of AF-algebras as graph algebras, Exel–Laca algebras and ultragraph algebras,
J. Funct. Anal.
257
(2009)
1589–1620.
[arXiv:0810.4091]
[PDF]
-
D. Pask,
J. Quigg
and A. Sims,
Coverings of skew-products and crossed products by coactions,
J. Austral. Math. Soc.
86
(2009),
379–398.
[arXiv:0706.0362]
[PDF]
-
C. Farthing,
D. Pask
and A. Sims,
Crossed products of k-graph C*-algebras by Zl,
Houston J. Math.
35
(2009),
903–933.
[arXiv:0706.3547]
[PDF]
-
D. Robertson
and A. Sims,
Simplicity of C*-algebras associated to row-finite locally convex higher-rank graphs,
Israel J. Math.
172
(2009),
171–192.
[arXiv:0708.0245]
[PDF]
-
D. Pask
A. Rennie
and A. Sims,
Noncommutative manifolds from graph and k-graph C*-algebras,
Comm. Math. Phys.
292
(2009),
607–636.
[arXiv:math.OA/0701527]
[PDF]
-
A. Sims and
T. Yeend,
C*-algebras associated to product systems of Hilbert bimodules,
J. Operator Th.
64
(2010),
349–376.
[arXiv:0712.3073]
[PDF]
-
A. Sims and
S.B.G. Webster,
A direct approach to co-universal algebras associated to directed graphs,
Bull. Malays. Math. Sci. Soc. (2)
33
(2010),
211–220.
[arXiv:0912.3303]
[PDF]
-
A. Sims,
The co-universal C*-algebra of a row-finite graph,
New York J. Math.
16
(2010),
507–524.
[arXiv:0809.2333]
[PDF]
-
P. Lewin
and A. Sims,
Aperiodicity and cofinality for finitely aligned higher-rank graphs,
Math. Proc. Cambridge Philos. Soc.
149
(2010),
333–350.
[arXiv:0905.0735]
[PDF]
-
T. Katsura,
P. Muhly,
A. Sims
and M. Tomforde,
Graph algebras, Exel–Laca algebras, and ultragraph algebras coincide up to Morita equivalence,
J. reine angew. Math.
640
(2010),
135–165.
[arXiv:0809.0164]
[PDF]
-
V. Deaconu,
A. Kumjian,
D. Pask
and A. Sims,
Graphs of C*-correspondences and Fell bundles,
Indiana Univ. Math. J.
59
(2010),
1687–1736.
[arXiv:0901.0032]
[PDF]
- 2011–2012
-
A. Kumjian,
D. Pask
and A. Sims,
Generalised morphisms of k-graphs: k-morphs,
Trans. Amer. Math. Soc.
363
(2011),
2599–2626.
[http://arXiv.org/abs/0712.1072]
[PDF]
-
A. an Huef,
A. Kumjian
and A. Sims,
A Dixmier–Douady classification for Fell algebras,
J. Funct. Anal.
260
(2011),
1543–1581.
[arXiv:1004.1787]
[PDF]
-
T. Carlsen,
N. Larsen,
A. Sims
and S.T. Vittadello,
Co-universal algebras associated to product systems, and gauge-invariant uniqueness theorems,
Proc. London Math. Soc.
103
(2011),
563–600.
[arXiv:0906.4825]
[PDF]
-
D.G. Evans
and A. Sims,
When is the Cuntz–Krieger algebra of a higher-rank graph approximately finite-dimensional?,
J. Funct. Anal.
263
(2012),
183–215.
[arXiv:1112.4549]
[PDF]
-
A. Kumjian,
D. Pask
and A. Sims,
Homology for higher-rank graphs and twisted C*-algebras,
J. Funct. Anal.
263
(2012),
1539–1574.
[arXiv:1110.1433]
[PDF]
-
A. Sims and
D.P. Williams,
Renault’s equivalence theorem for reduced groupoid C*-algebras,
J. Operator Th.
68
(2012),
223–239.
[arXiv:1002.3093]
[PDF]
- 2013–2014
-
A. Kumjian,
D. Pask
and A. Sims,
On the K-theory of twisted higher-rank-graph C*-algebras,
J. Math. Anal. Appl.
401
(2013),
104–113.
[arXiv:1211.1445]
[PDF]
-
A. an Huef,
M. Laca,
I. Raeburn
and A. Sims,
KMS states on the C*-algebras of finite graphs,
J. Math. Anal. Appl.
405
(2013),
388–399.
[arXiv:1205.2194]
[PDF]
-
R. Hazlewood,
I. Raeburn,
A. Sims and
S.B.G. Webster,
Remarks on some fundamental results about higher-rank graphs and their C*-algebras,
Proc. Edinburgh Math. Soc.
56
(2013),
575–597.
[arXiv:1110.2269]
[PDF]
-
N. Brownlowe,
A. Sims
and S.T. Vittadello,
Co-universal C*-algebras associated to generalised graphs,
Israel J. Math
193
(2013),
399–440.
[arXiv:1009.1184]
[PDF]
-
A. Sims and
D.P. Williams,
An equivalence theorem for reduced Fell bundle C*-algebras,
New York J. Math.
19
(2013)
159–178.
[http://nyjm.albany.edu/j/2013/19-11v.pdf]
[PDF]
-
A. Sims and
D.P. Williams,
Amenability for Fell bundles over groupoids,
Illinois J. Math.
67
(2013),
429–444.
[arXiv:1201.0792]
[PDF]
-
A. an Huef,
M. Laca,
I. Raeburn
and A. Sims,
KMS states on C*-algebras associated to higher-rank graphs,
J. Funct. Anal.
266
(2014),
265–283.
[arXiv:1212.6811]
[PDF]
-
T. Carlsen,
S. Kang
J. Shotwell
and A. Sims,
The primitive ideals of the Cuntz–Krieger algebra of a row-finite higher-rank graph with no sources,
J. Funct. Anal
266
(2014),
2570–2589.
[arXiv:1305.6388]
[PDF]
-
J.H. Brown,
L.O. Clark,
C. Farthing
and A. Sims,
Simplicity of algebras associated to étale groupoids,
Semigroup Forum
88
(2014),
433–452.
[arXiv:1204.3127]
[PDF]
-
H. Li,
D. Pask,
and A. Sims,
An elementary approach to C*-algebras associated to topological graphs,
New York J. Math.
20
(2014),
447–469.
[http://nyjm.albany.edu/j/2014/20-26v.pdf]
[PDF]
-
A. Sims, B. Whitehead and
M.F. Whittaker,
Twisted C*-algebras associated to finitely aligned higher-rank graphs,
Documenta Math.
19
(2014),
831–866.
[arXiv:1310.7656]
[PDF]
-
S. Kang
and A. Sims,
Co-universal C*-algebras associated to aperiodic k-graphs,
Glasgow J. Math.
56
(2014),
537–550.
[arXiv:1108.3674]
[PDF]
-
L.O. Clark,
C. Farthing,
A. Sims and
M. Tomforde,
A groupoid generalization of Leavitt path algebras,
Semigroup Forum
89
(2014),
501–517.
doi:10.1007/s00233-014-9594-z
[arXiv:1110.6198]
[PDF]
- 2015–2016
-
E. Ruiz,
A. Sims and
M. Tomforde,
The nuclear dimension of graph C*-algebras,
Adv. Math.
272
(2015),
96–123.
[arXiv:1312.0507]
[PDF]
-
L.O. Clark and
A. Sims,
Equivalent groupoids have Morita equivalent Steinberg algebras,
J. Pure Appl. Algebra
219
(2015),
2062–2075.
[arXiv:1311.3701]
[PDF]
-
D. Pask,
A. Sierakowski
and A. Sims,
Twisted k-graph algebras associated to Bratteli diagrams,
Integral Equations Operator Theory
81
(2015),
375–408.
[arXiv:1403.4324]
[PDF]
-
A. Kumjian,
D. Pask
and A. Sims,
On twisted higher-rank graph C*-algebras,
Trans. Amer. Math. Soc.
367
(2015),
5177–5216.
[arXiv:1112.6233]
[PDF]
-
A. an Huef,
M. Laca,
I. Raeburn
and A. Sims,
KMS states on the C*-algebra of a higher-rank graph and periodicity in the path space,
J. Funct. Anal.
268
(2015),
1840–1875.
[arXiv:1404.6819]
[PDF]
-
E. Ruiz,
A. Sims and
A.P.W. Sørensen,
UCT-Kirchberg algebras have nuclear dimension 1,
Adv. Math.
279
(2015),
1–28.
[arXiv:1406.2045]
[PDF]
-
M. Laca,
N.S. Larsen,
S. Neshveyev,
A. Sims and
S.B.G. Webster,
von Neumann algebras of strongly connected higher-rank graphs,
Math. Ann. 363 (2015), Page 657–678.
[arXiv:1409.6481]
[PDF]
-
A. an Huef,
M. Laca,
I. Raeburn
and A. Sims,
KMS states on the C*-algebras of reducible graphs,
Ergodic Theory Dynam. Systems 35 (2015), 2535–2558.
doi:10.1017/etds.2014.52
[arXiv:1402.0276]
[PDF]
-
D. Robertson,
J. Rout
and A. Sims,
KMS states on generalised Bunce–Deddens algebras and their Toeplitz extensions,
Bull. Malaysian Math. Sci. Soc., 2015, 10.1007/s40840-015-0244-8.
[arXiv:1501.01712]
[PDF]
-
A. Sims and
D.P. Williams,
The primitive ideals of some étale groupoid C*-algebras,
Algebr. Represent. Th., 19 (2016), 255–276 10.1007/s10468-015-9573-4.
[arXiv:1501.02302]
[PDF]
-
J.H. Brown,
G. Nagy
S. Reznikoff,
A. Sims,
and D.P. Williams,
Cartan subalgebras in C*-algebras of étale Hausdorff groupoids,
Integral Equations Operator Theory 85 (2016), 109–126.
doi:10.1007/s00020-016-2285-2
[arXiv:1503.03521]
[PDF]
-
S. Kaliszewski,
A. Kumjian,
J. Quigg
and A. Sims,
Topological realizations and fundamental groups of higher-rank graphs,
Proc. Edinburgh Math. Soc. (2) 59 (2016), 143–168.
[arXiv:1205.2858]
[PDF]
-
J.H. Brown,
L.O. Clark,
A. Sierakowski
and A. Sims,
Purely infinite simple C*-algebras that are principal groupoid C*-algebras,
J. Math. Anal. Appl. 439 (2016), 213–234.
[arXiv:1504.04794]
[PDF]
-
A. Kumjian,
D. Pask,
A. Sims and
M.F. Whittaker,
Topological spaces associated to higher-rank graphs,
J. Combinatorial Th. A. 143 (2016), 19–41.
doi:10.1016/j.jcta.2016.04.005
[arXiv:1310.6100]
[PDF]
-
L.O. Clark,
A. an Huef,
and A. Sims,
AF-embeddability of 2-graph algebras and quasidiagonality of k-graph algebras,
J. Funct. Anal., 271 (2016), 958–991.
[arXiv:1508.02746]
[PDF]
-
A. Kumjian,
D. Pask
and A. Sims,
Simplicity of twisted C*-algebras of higher-rank graphs and crossed products by quasifree actions,
J. Noncommut. Geom., 10 (2016), 515–549.
[arXiv:1411.3860]
[PDF]
-
T.M. Carlsen,
and A. Sims,
On Hong and Szymanski's description of the primitive-ideal space of a graph algebra,
in Operator algebras and Applications, Carlsen, Larsen, Neshveyev and Skau (eds),
The Abel Symposium 2015, Springer 2016, pp 109–126.
[arXiv:1512.02850]
[PDF]
- 2017–2018
-
A. Rennie,
D. Robertson
and A. Sims,
The extension class and KMS states for Cuntz–Pimsner algebras of some bi-Hilbertian bimodules,
J. Topol. Anal., 9 (2017), 297–327.
[arXiv:1501.05363]
[PDF]
-
P. Ara,
J. Bosa,
R. Hazrat,
and A. Sims,
Reconstruction of graded groupoids from graded Steinberg algebras,
Forum Math. 28 (2017), 1023--1037.
doi:110.1515/forum-2016-0072
[arXiv:1601.02872]
[PDF]
-
T.M. Carlsen,
E. Ruiz,
and A. Sims,
Equivalence and stable isomorphism of groupoids, and diagonal-preserving stable isomorphisms of graph C*-algebras and Leavitt path algebras,
Proc. Amer. Math. Soc., 145 (2017), 1581–1592.
[arXiv:1602.02602]
[PDF]
-
A. Rennie,
and A. Sims,
Non-commutative vector bundles for non-unital algebras,
SIGMA 13 (2017), 041, 12 pages.
[arXiv:1612.03559]
[PDF]
-
A. Rennie,
D. Robertson
and A. Sims,
Groupoid algebras as Cuntz–Pimsner algebras,
Math. Scand. 120 (2017), 115–123.
[arXiv:1402.7126]
[PDF]
-
A. Rennie,
D. Robertson
and A. Sims,
Groupoid Fell bundles for product systems over quasi-lattice ordered groups,
Math. Proc. Cambridge Philos. Soc. 163 (2017), 561--580.
[arXiv:1501.05476]
[PDF]
-
D. Pask,
A. Sierakowski
and A. Sims,
Real rank and topological dimension of higher rank graph algebras,
Indiana Univ. Math. J. 66 (2017) 2137–2168.
[arXiv:1503.08517]
[PDF]
-
J.N. Renault,
A. Sims,
D.P. Williams,
and T. Yeend,
Uniqueness theorems for topological higher-rank graph C*-algebras,
Proc. Amer. Math. Soc., 146 (2018), 669–684.
[arXiv:0906.0829]
[PDF]
-
M. Ionescu,
A. Kumjian,
A. Sims,
and D.P. Williams,
A stabilization theorem for Fell bundles over groupoids,
Proc. Roy. Soc. Edinburgh Sect. A, 148 (2018), 79–100.
[arXiv:1512.06046]
[PDF]
-
P. Ara,
R. Hazrat,
H. Li,
and A. Sims,
Graded Steinberg algebras and their representations,
Algebra Number Theory, 12 (2018), 131–172.
[arXiv:1704.01214]
[PDF]
-
J. Claramunt and
A. Sims,
Preferred traces on C*-algebras of self-similar groupoids arising as fixed points,
J. Math. Anal. Appl. 466 (2018), 806–818.
[arXiv:1712.00302]
[PDF]
-
A. Kumjian,
D. Pask
and A. Sims,
Graded C*-algebras, graded K-theory and twisted P-graph algebras,
J. Operator Th. 80 (2018), 295–348.
doi:10.7900/jot.2017sep28.2192
[arXiv:1706.00563]
[PDF]
-
P. Hajac,
R. Nest,
D. Pask,
A. Sims,
and B. Zielinski,
Noncommutative line bundles associated to twisted multipullback quantum odd spheres,
J. Noncommutative Geometry 12 (2018), 823–863.
[arXiv:1512.08816]
[PDF]
- 2019–2020
-
N. Brownlowe,
M. Hawkins,
and A. Sims,
The Toeplitz noncommutative solenoid and its KMS states,
Ergodic Theory Dynam. Sysems 39 (2019), 105–131.
doi:10.1017/etds.2017.7
[arXiv:1608.01782]
[PDF]
-
A. Rennie,
D. Robertson
and A. Sims,
Poincaré duality for Cuntz–Pimsner algebras of bimodules,
Adv. Math. 347 (2019), 1112--1172.
doi: 10.1016/j.aim.2019.02.032
[arXiv:1804.08114]
[PDF]
-
M. Ionescu,
A. Kumjian,
A. Sims,
and D.P. Williams,
The Dixmier–Douady classes of certain groupoid C*-algebras with continuous trace,
J. Operator Th. 81 (2019), 401–431.
[arXiv:1801.00832]
[PDF]
-
A. Sims,
The suspension of a graph, and associated C*-algebras,
J. Funct. Anal. 277 (2019), 1202–1257.
[arXiv:1807.08067]
[PDF]
-
L.O. Clark,
R. Exel,
E. Pardo,
A. Sims, and
C. Starling,
Simplicity of algebras associated to non-Hausdorff groupoids,
Trans. Amer. Math. Soc. 372 (2019), 3669–3712.
[arXiv:1806.04362]
[PDF]
-
C. Farsi,
A. Kumjian,
D. Pask
and A. Sims,
Ample groupoids: equivalence, homology, and Matui's HK-conjecture,
Münster J. Math. 12 (2019), 411–451.
[arXiv:1808.07807]
[PDF]
-
L.O. Clark,
C. Edie-Michell
A. an Huef,
and A. Sims,
Ideals in Steinberg algebras of strongly effective groupoids, with applications to Leavitt path algebras,
Trans. Amer. Math. Soc. 371 (2019), 5461–5486.
[arXiv:1601.07238]
[PDF]
-
C. Bruce,
M. Laca,
J. Ramagge
and A. Sims,
Equilibrium states and growth rates of quasi-lattice ordered groups,
Proc. Amer. Math. Soc., Proc. Amer. Math. Soc. 147 (2019), 2389–2404.
[arXiv:1709.07606]
[PDF]
-
D. Pask,
A. Sierakowski
and A. Sims,
Unbounded quasitraces, stable finiteness and pure infiniteness,
Houston J. Math. 45 (2019), 763–814.
[arXiv:1705.01268]
[PDF]
-
T. Rainone
and A. Sims,
A dichotomy for groupoid C*-algebras,
Ergodic Theory Dynam. Systems 40 (2020), 521–563.
[arXiv:1707.04516]
[PDF]
-
N. Brownlowe,
M. Laca,
D. Robertson
and A. Sims,
Reconstructing directed graphs from generalised gauge actions on their Toeplitz algebras,
Proc. Roy. Soc. Edinburgh Sect. A 150 (2020), 2632–2641.
[arXiv:1812.08903]
[PDF]
-
Z. Afsar,
A. an Huef,
I. Raeburn,
and A. Sims,
Equilibrium states on higher-rank Toeplitz noncommutative solenoids,
Ergodic Theory Dynam. Systems 40 (2020), 2881–2912.
[arXiv:1810.05323]
[PDF]
- 2021–2022
-
M. Ionescu,
A. Kumjian,
J.N. Renault,
A. Sims,
and D.P. Williams,
C*-algebras of extensions of groupoids by group bundles,
J. Funct. Anal. 280 (2021), 108892.
[arXiv:2001.01312]
[PDF]
-
Q. Patterson,
A. Sierakowski,
A. Sims,
and J. Taylor,
Graded K-theory and K-homology of relative Cuntz–Pimsner algebras and graph C*-algebras,
J. Math. Anal. Appl. 496 (2021), 124822.
[arXiv:2005.11921]
[PDF]
-
Z. Afsar
and A. Sims,
KMS states on the C*-algebras of Fell bundles over groupoids,
Math. Proc. Cambridge Philosoph. Soc. 170 (2021), 221–246.
[arXiv:1708.00629]
[PDF]
-
R. Hazrat,
D. Pask,
A. Sierakowski
and A. Sims,
An algebraic analogue of Exel–Pardo C*-algebras,
Algebr. Represent. Th. 24 (2021), 877–909.
[arXiv:1912.12117]
[PDF]
-
T.M. Carlsen,
E. Ruiz,
A. Sims,
and M. Tomforde
Reconstruction of groupoids and C*-rigidity of dynamical systems,
Adv. Math 390 (2021), 107923.
doi:10.1016/j.aim.2021.107923
[arXiv:1711.01052]
[PDF]
-
M. Ionescu,
A. Kumjian,
J.N. Renault,
A. Sims,
and D.P. Williams,
Pushouts of groupoids by bundles of abelian groups,
New Zealand J. Math. 52 (2021) (Vaughan Jones Memorial Special Issue), 561–581.
[arXiv:2107.05776]
[PDF]
-
D. Pask,
A. Sierakowski
and A. Sims,
Structure theory and stable rank for C*-algebras of finite higher-rank graphs,
Proc. Edinb. Math. Soc., 64 (2021), 822–847. doi:10.1017/S0013091521000626
[arXiv:2011.12656]
[PDF]
-
A. Buss
and A. Sims,
Opposite algebras of groupoid C*-algebras,
Israel J. Math, 244 (2021), 759–774.
[arXiv:1708.04105]
[PDF]
-
P. Ara,
J. Bosa,
E. Pardo,
and A. Sims,
The groupoids of adaptable separated graphs and their type semigroup,
Int. Math. Res. Not. (2021), 15444–15496.
[arXiv:1904.05197]
[PDF]
-
J. Fletcher,
E. Gillaspy,
and A. Sims,
Homotopy of product systems and K-theory of Cuntz–Nica–Pimsner algebras,
Indiana U. Math. J. 71 (2022), 307–338.
[arXiv:1911.00959]
[PDF]
-
J. Bosa,
J. Gabe,
A. Sims,
and S. White,
The nuclear dimension of O∞-stable C*-algebras,
Adv. Math. 401 (2022), 108250, 51 pp.
[arXiv:1904.02066]
[PDF]
-
S. Eilers,
E. Ruiz,
and A. Sims,
Amplified graph C*-algebras II: Reconstruction,
Proc. Amer. Math. Soc. Ser. B 9 (2022), 297–310.
[arXiv:2007.00853]
[PDF]
- 2023–
-
A. an Huef,
A.C.S. Ng,
and A. Sims,
Stably finite extensions of rank-two graph C*-algebras,
J. Operator Th. 90 (2023), 263–310.
[arXiv:2111.15165]
[PDF]
-
B. Armstrong,
G. de Castro,
L.O. Clark,
K. Courtney,
Y-F. Lin,
K. McCormick,
J. Ramagge,
A. Sims,
and B. Steinberg,
Reconstruction of twisted Steinberg algebras,
Int. Math. Res. Not. 2023 (2023), 2474–2542.
[arXiv:2101.08556]
[PDF]
-
B. Armstrong,
N. Brownlowe, and
A. Sims,
Simplicity of twisted C*-algebras of Deaconu–Renault groupoids,
J. Noncommut. Geom., published online first (2023), 1–48.
doi: 10.4171/JNCG/527
[arXiv:2109.02583]
[PDF]
-
R. Frausino,
A.C.S. Ng,
and A. Sims,
Reconstruction of topological graphs and their Hilbert modules,
Proc. Roy. Soc. Edinburgh Sect. A, published online first (2022), 1–26.
doi: 10.1017/prm.2023.99
[arXiv:2212.09195]
[PDF]
-
M.V. Lawson,
A. Sims, and
A. Vdovina,
Higher dimensional generalizations of the Thompson groups via higher rank graphs,
J. Pure Appl. Algebra 228 (2024), 107456.
[arXiv:2010.08960]
[PDF]
-
K.A. Brix,
T.M. Carlsen, and
A. Sims,
Some results regarding the ideal structure of C*-algebras of étale groupoids,
J. London Math. Soc. (2) 109 (2024), e12870.
[arXiv:2211.06126]
[PDF]
- In press
-
N. Brownlowe,
A. Buss,
C. Gonçalves,
J.B. Hume,
and A. Sims,
and M.F. Whittaker
KK duality for self-similar groupoid actions on graphs,
Trans. Amer. Math. Soc., to appear.
[arXiv:2302.03989]
[PDF]
-
K.A. Brix,
T.M. Carlsen, and
A. Sims,
Ideal structure of C*-algebras of commuting local homeomorphisms,
Math. Ann. to appear.
[arXiv:2303.02313]
[PDF]
-
A. Mundey
A. Sims,
Homology and twisted C*-algebras for self-similar actions and Zappa-Szép products,
Res. Math., to appear.
[arXiv:2311.09600]
[PDF]
-
B. Armstrong,
A.C.S. Ng,
A. Sims, and
Y. Zhou,
A twist over a minimal étale groupoid that is topologically nontrivial over the interior of the isotropy,
Proc. Amer. Math. Soc., to appear.
[arXiv:arXiv:2312.08683]
[PDF]
- Preprints
-
A. Duwenig
A. Sims,
Smooth Cartan triples and Lie twists over Hausdorff étale Lie groupoids,
preprint 2023.
[arXiv:2309.09177]
[PDF]
-
N. Brownlowe,
A. Kumjian,
D. Pask
and A. Sims,
Embeddability of higher-rank graphs in groupoids, and the structure of their C*-algebras,
preprint 2024.
[arXiv:2403.01337]
[PDF]
-
S. Evington,
A.C.S. Ng,
A. Sims, and
S. White
Nuclear dimension of extensions of extensions of commutative C*-algebras by Kirchberg algebras,
preprint 2024.
[arXiv:2409.12872]
[PDF]
-
A. Mundey
A. Sims,
Self-similar groupoid actions on k-graphs, and invariance of K-theory for cocycle homotopies,
preprint 2024.
[arXiv:2411.09939]
[PDF]
-
T. Carlsen,
A. Duwenig,
E. Ruiz and
A. Sims,
Norm upper-semicontinuity of functions supported on open abelian isotropy in étale groupoids (a corrigendum to "Reconstruction of groupoids and C*-rigidity of dynamical systems," Adv. Math 390 (2021), 107923),
preprint 2024 (arXiv identifier pending).
[PDF]
- Other
-
A. Sims and
B. Sims,
Assessing the minimality of change in belief revision: capacities,
in Frontiers in Belief Revision,
Mary-Anne Williams and
Hans Rott
(Eds.),
Applied Logic Series,
22,
Kluwer Academic Publishers, 2001.
[PDF]
-
I. Raeburn,
A. Sims and
D. P. Williams,
Twisted actions and obstructions in group cohomology,
in C*-algebras: Proceedings of the SFB Workshop on C*-algebras,
Münster, Germany, March 8–12,
1999,
J. Cuntz and
S. Echterhoff
(Eds.),
Springer,
2000.
[PDF]
-
A. Sims,
C*-algebras associated to higher-rank graphs,
PhD Thesis,
University of Newcastle Australia,
2003.
[PDF]
-
A. Sims
Graphs and C*-algebras,
invited technical article, Gazette of the Australian Mathematical Society
39
(2012),
35–39.
[PDF]
-
A. Sims
Hausdorff étale groupoids and their C*-algebras,
in “Operator algebras and dynamics: groupoids, crossed products
and Rokhlin dimension” (F. Perera, Ed.) in Advanced Courses in Mathematics. CRM Barcelona, Birkhäuser, 2020.
[arXiv:1710.10897]
[PDF]
Research Interests and Affiliations
I am broadly interested in functional analysis, more specifically in the area of operator algebras and its applications in related fields.
Much of my research is concerned with C*-algebras associated to directed graphs, to higher-rank graphs and to other combinatorial structures.
These can be regarded as special cases of the theory of C*-algebras associated to Hilbert bimodules and to product systems of Hilbert
bimodules, and I have a long-standing interest in these as well. More recently I have developed interests in C*-algebras associated to
groupoids and to Fell bundles over groupoids, and also to the interplay between operator algebras and algebraic topology: in particular in
Dixmier–Douady theory and in deformations of C*-algebras by cohomological data. I have also recently developed research programs
studying the structure of equilibrium states, known as KMS states, of C*-dynamical systems; particularly in the context of
C*-algebras associated to combinatorial structures.
I am a professor of pure mathematics in the School of Mathematics & Applied Statistics, which belongs to the Faculty of Engineering and Information Sciences, and am a member of the Institute for Noncommutative Analysis (INCA), a research centre of the University of Wollongong's Institute for Mathematics and Its Applications.
Current research students
Previous research students
- Rodrigo Frausino: Reconstruction: compact topological graphs & Hilbert bimodules over commutative C*-algebras. Submitted 2024.
- Isnie Yusnitha: Cuntz–Krieger algebras associated to self-similar groupoids. Submitted 2023.
- Joel Zimmerman: Weakly Cartan subalgebras and C*-algebras of twists. Co-supervised with David Pask. Graduated 2023.
- Nick Seaton: The Brauer group for Fell algebras. Co-supervised with David Pask. Graduated 2022.
- Rhys MacDonald: Twisted groupoid C*-algebras and KMS states. (M.Phil) Co-supervised with David Pask. Graduated 2020.
- Alex Mundey: The noncommutative dynamics and topology of iterated function systems. Co-supervised with Adam Rennie. Graduated 2020.
- Becky Armstrong: Simplicity of twisted C*-algebras of topological higher-rank graphs. Co-supervised with Nathan Brownlowe. Graduated 2019.
- Michael Mampusti: Equilibrium states and Cuntz–Pimsner algebras on Mauldin–Williams graphs. Co-supervised with Mike Whittaker and David Pask. Graduated 2019.
- James Fletcher: Iterating the Cuntz–Nica–Pimsner construction for product systems. Co-supervised with Adam Rennie. Graduated 2017.
- James Rout: Actions of graphs on topological spaces and generalised Bunce–Deddens algebras.Co-supervised with Dave Robertson. Graduated 2017.
- Dr Mitchell Hawkins: Applications of compact topological graph C*-algebras to noncommutative solenoids. Co-supervised with Nathan Brownlowe. Graduated 2015.
- Dr Hui Li: Twisted C*-algebras associated to topological graphs. Co-supervised with David Pask. Graduated 2014.
- Dr Yuxiang Tang: Tiling systems and 2-graphs associated to textile systems. Co-supervised with David Pask. Graduated 2014.
- Dr Peter Lewin: The structure and ergodic theory of higher-rank graph algebras. Co-supervised with Iain Raeburn. Graduated 2012.
- Dr Samuel B.G. Webster: Directed graphs and k-graphs: topology of the path space and how it manifests in the associated C*-algebra. Co-supervised with Iain Raeburn. Graduated 2011.
You can find here a small collection of informal notes that I have developed or that others have allowed me to post at various times.