Professor Aidan Sims

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.

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2001–2005
1. N. J. Fowler and A. Sims, Product systems over right-angled Artin semigroups, Trans. Amer. Math. Soc. 354 (2001), 1487–1509. [PDF]
2. 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]
3. 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]
4. 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
1. A. Sims, Relative Cuntz–Krieger algebras of finitely aligned higher-rank graphs, Indiana Univ. Math. J. 55 (2006), 849–868. [arXiv:math/0312152] [PDF].
2. 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]
3. 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]
4. 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]
5. 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]
6. 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]
7. 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]
8. 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
1. 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]
2. 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]
3. C. Farthing, D. Pask and A. Sims, Crossed products of k-graph C*-algebras by Z^l, Houston J. Math. 35 (2009), 903–933. [arXiv:0706.3547] [PDF]
4. 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]
5. 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]
6. 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]
7. 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]
8. A. Sims, The co-universal C*-algebra of a row-finite graph, New York J. Math. 16 (2010), 507–524. [arXiv:0809.2333] [PDF]
9. 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]
10. 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]
11. 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
1. 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]
2. 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]
3. 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]
4. 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]
5. 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]
6. 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
1. 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]
2. 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]
3. 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]
4. 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]
5. 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]
6. A. Sims and D.P. Williams, Amenability for Fell bundles over groupoids, Illinois J. Math. 67 (2013), 429–444. [arXiv:1201.0792] [PDF]
7. 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]
8. 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]
9. 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]
10. 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]
11. 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]
12. 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]
13. 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
1. E. Ruiz, A. Sims and M. Tomforde, The nuclear dimension of graph C*-algebras, Adv. Math. 272 (2015), 96–123. [arXiv:1312.0507] [PDF]
2. 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]
3. 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]
4. 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]
5. 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]
6. 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]
7. 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]
8. 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]
9. 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]
10. 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]
11. 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]
12. 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]
13. 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]
14. 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]
15. 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]
16. 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]
17. 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
1. 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]
2. 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]
3. 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]
4. A. Rennie, and A. Sims, Non-commutative vector bundles for non-unital algebras, SIGMA 13 (2017), 041, 12 pages. [arXiv:1612.03559] [PDF]
5. A. Rennie, D. Robertson and A. Sims, Groupoid algebras as Cuntz–Pimsner algebras, Math. Scand. 120 (2017), 115–123. [arXiv:1402.7126] [PDF]
6. 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]
7. 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]
8. 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]
9. 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]
10. 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]
11. 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]
12. 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]
13. 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
1. 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]
2. 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]
3. 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]
4. A. Sims, The suspension of a graph, and associated C*-algebras, J. Funct. Anal. 277 (2019), 1202–1257. [arXiv:1807.08067] [PDF]
5. 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]
6. 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]
7. 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]
8. 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]
9. 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]
10. T. Rainone and A. Sims, A dichotomy for groupoid C*-algebras, Ergodic Theory Dynam. Systems 40 (2020), 521–563. [arXiv:1707.04516] [PDF]
11. 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]
12. 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
1. 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]
2. 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]
3. 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]
4. 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]
5. 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]
6. 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]
7. 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]
8. A. Buss and A. Sims, Opposite algebras of groupoid C*-algebras, Israel J. Math, 244 (2021), 759–774. [arXiv:1708.04105] [PDF]
9. 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]
10. 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]
11. 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]
12. 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–
1. 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]
2. 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]
3. 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]
4. 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]
5. 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]
6. 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
1. 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]
Preprints
1. K.A. Brix, T.M. Carlsen, and A. Sims, Ideal structure of C*-algebras of commuting local homeomorphisms, preprint 2023. [arXiv:2303.02313] [PDF]
2. A. Duwenig A. Sims, Smooth Cartan triples and Lie twists over Hausdorff étale Lie groupoids, preprint 2023. [arXiv:2309.09177] [PDF]
3. A. Mundey A. Sims, Homology and twisted C*-algebras for self-similar actions and Zappa-Szép products, preprint 2023. [arXiv:2311.09600] [PDF]
4. B. Armstrong, A. Ng, A. Sims, and Y. Zhou, A twist over a minimal étale groupoid that is topologically nontrivial over the interior of the isotropy, preprint 2023. [arXiv:arXiv:2312.08683] [PDF]
5. 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:arXiv:2403.01337] [PDF]
Other
1. 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]
2. 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]
3. A. Sims, C*-algebras associated to higher-rank graphs, PhD Thesis, University of Newcastle Australia, 2003. [PDF]
4. A. Sims Graphs and C*-algebras, invited technical article, Gazette of the Australian Mathematical Society 39 (2012), 35–39. [PDF]
5. 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

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.

Prof Aidan Sims

University of Wollongong

Research Funding

Publications

Research Interests and Affiliations

Current research students

Previous research students