By Mr Aidan Sims

Book Chapters

Carlsen TM; Sims A, 2016, 'On Hong and Szymański’s Description of the Primitive-Ideal Space of a Graph Algebra', in Operator Algebras and Applications, Springer Nature, pp. 115 - 132, http://dx.doi.org/10.1007/978-3-319-39286-8_4

Sims A; Sims B, 2001, 'Assessing the Minimality of Change in Belief Revision: Capacities', in Applied Logic Series, Springer Netherlands, pp. 163 - 177, http://dx.doi.org/10.1007/978-94-015-9817-0_8

Journal articles

Evington S; Ng ACS; Sims A; White S, 2025, 'Nuclear dimension of extensions of commutative C∗-algebras by Kirchberg algebras', Mathematische Zeitschrift, 310, http://dx.doi.org/10.1007/s00209-025-03787-7

Mundey A; Sims A, 2025, 'Self-similar groupoid actions on k-graphs, and invariance of K-theory for cocycle homotopies', Annals of Functional Analysis, 16, http://dx.doi.org/10.1007/s43034-025-00440-6

Armstrong B; Abraham CSNG; Sims A; Zhou Y, 2025, 'A TWIST OVER A MINIMAL ÉTALE GROUPOID THAT IS TOPOLOGICALLY NONTRIVIAL OVER THE INTERIOR OF THE ISOTROPY', Proceedings of the American Mathematical Society, 153, pp. 1849 - 1866, http://dx.doi.org/10.1090/proc/17159

Brix KA; Carlsen TM; Sims A, 2025, 'Ideal structure of C∗-algebras of commuting local homeomorphisms', Mathematische Annalen, 392, pp. 89 - 151, http://dx.doi.org/10.1007/s00208-024-03076-4

Carlsen TM; Duwenig A; Ruiz E; Sims A, 2025, 'Erratum: Norm upper-semicontinuity of functions supported on open abelian isotropy in étale groupoids. Corrigendum to “Reconstruction of groupoids and C⁎-rigidity of dynamical systems” [Adv. Math. 390 (2021) 107923] (Advances in Mathematics (2021) 390, (S0001870821003625), (10.1016/j.aim.2021.107923))', Advances in Mathematics, 466, http://dx.doi.org/10.1016/j.aim.2025.110150

Mundey A; Sims A, 2025, 'Homology and Twisted C∗-Algebras for Self-similar Actions and Zappa–Szép Products', Results in Mathematics, 80, http://dx.doi.org/10.1007/s00025-024-02264-7

Brownlowe N; Buss A; Gonçalves D; Hume JB; Sims A; Whittaker MF, 2024, 'KK-DUALITY FOR SELF-SIMILAR GROUPOID ACTIONS ON GRAPHS', Transactions of the American Mathematical Society, 377, pp. 5513 - 5560, http://dx.doi.org/10.1090/tran/9183

Brix KA; Carlsen TM; Sims A, 2024, 'Some results regarding the ideal structure of C*-algebras of étale groupoids', Journal of the London Mathematical Society, 109, http://dx.doi.org/10.1112/jlms.12870

Kumjian A; Pask D; Sims A, 2024, 'Erratum to “Higher-rank graph C-algebras” (Electronic Journal of Combinatorics)', New York Journal of Mathematics, 30, pp. 1029 - 1031

Lawson MV; Sims A; Vdovina A, 2024, 'Higher dimensional generalizations of the Thompson groups via higher rank graphs', Journal of Pure and Applied Algebra, 228, http://dx.doi.org/10.1016/j.jpaa.2023.107456

Armstrong B; Brownlowe N; Sims A, 2024, 'Simplicity of twisted C*-algebras of Deaconu–Renault groupoids', Journal of Noncommutative Geometry, 18, pp. 265 - 312, http://dx.doi.org/10.4171/JNCG/527

Armstrong B; de Castro GG; Clark LO; Courtney K; Lin YF; McCormick K; Ramagge J; Sims A; Steinberg B, 2023, 'Reconstruction of Twisted Steinberg Algebras', International Mathematics Research Notices, 2023, pp. 2474 - 2542, http://dx.doi.org/10.1093/imrn/rnab291

Frausino R; Ng ACS; Sims A, 2023, 'Reconstruction of topological graphs and their Hilbert bimodules', Proceedings of the Royal Society of Edinburgh Section A Mathematics, http://dx.doi.org/10.1017/prm.2023.99

An Huef A; Ng ACS; Sims A, 2023, 'STABLY FINITE EXTENSIONS OF C*-ALGEBRAS OF RANK-TWO GRAPHS', Journal of Operator Theory, 90, pp. 263 - 310, http://dx.doi.org/10.7900/jot.2021Nov29.2376

Bosa J; Gabe J; Sims A; White S, 2022, 'The nuclear dimension of O∞-stable C⁎-algebras', Advances in Mathematics, 401, http://dx.doi.org/10.1016/j.aim.2022.108250

Eilers S; Ruiz E; Sims A, 2022, 'AMPLIFIED GRAPH C*-ALGEBRAS II: RECONSTRUCTION', Proceedings of the American Mathematical Society Series B, 9, pp. 297 - 310, http://dx.doi.org/10.1090/bproc/112

Fletcher J; Gillaspy E; Sims A, 2022, 'Homotopy of Product Systems and K-Theory of Cuntz-Nica-Pimsner Algebras', Indiana University Mathematics Journal, 71, pp. 307 - 338, http://dx.doi.org/10.1512/iumj.2022.71.8810

Pask D; Sierakowski A; Sims A, 2021, 'Structure theory and stable rank for C*-algebras of finite higher-rank graphs', Proceedings of the Edinburgh Mathematical Society, 64, pp. 822 - 847, http://dx.doi.org/10.1017/S0013091521000626

Carlsen TM; Ruiz E; Sims A; Tomforde M, 2021, 'Reconstruction of groupoids and C⁎-rigidity of dynamical systems', Advances in Mathematics, 390, http://dx.doi.org/10.1016/j.aim.2021.107923

Ara P; Bosa J; Pardo E; Sims A, 2021, 'The Groupoids of Adaptable Separated Graphs and Their Type Semigroups', International Mathematics Research Notices, 2021, pp. 15444 - 15496, http://dx.doi.org/10.1093/imrn/rnaa022

Buss A; Sims A, 2021, 'Opposite algebras of groupoid C*-algebras', Israel Journal of Mathematics, 244, pp. 759 - 774, http://dx.doi.org/10.1007/s11856-021-2190-5

Hazrat R; Pask D; Sierakowski A; Sims A, 2021, 'An Algebraic Analogue of Exel–Pardo C ∗-Algebras', Algebras and Representation Theory, 24, pp. 877 - 909, http://dx.doi.org/10.1007/s10468-020-09973-x

Patterson Q; Sierakowski A; Sims A; Taylor J, 2021, 'Graded K-theory and K-homology of relative Cuntz–Pimsner algebras and graph C⁎-algebras', Journal of Mathematical Analysis and Applications, 496, http://dx.doi.org/10.1016/j.jmaa.2020.124822

Ionescu M; Kumjian A; Renault JN; Sims A; Williams DP, 2021, 'C⁎-algebras of extensions of groupoids by group bundles', Journal of Functional Analysis, 280, http://dx.doi.org/10.1016/j.jfa.2020.108892

Afsar Z; Sims A, 2021, 'KMS states on the C∗-algebras of Fell bundles over groupoids', Mathematical Proceedings of the Cambridge Philosophical Society, 170, pp. 221 - 246, http://dx.doi.org/10.1017/S0305004119000379

Ionescu M; Kumjian A; Renault JN; Sims A; Williams DP, 2021, 'Pushouts of extensions of groupoids by bundles of abelian groups', New Zealand Journal of Mathematics, 52, pp. 561 - 581, http://dx.doi.org/10.53733/136

Afsar Z; Huef AA; Raeburn I; Sims A, 2020, 'Equilibrium states on higher-rank Toeplitz non-commutative solenoids', Ergodic Theory and Dynamical Systems, 40, pp. 2881 - 2912, http://dx.doi.org/10.1017/etds.2019.20

Brownlowe N; Laca M; Robertson D; Sims A, 2020, 'Reconstructing directed graphs from generalized gauge actions on their Toeplitz algebras', Proceedings of the Royal Society of Edinburgh Section A Mathematics, 150, pp. 2632 - 2641, http://dx.doi.org/10.1017/prm.2019.36

Rainone T; Sims A, 2020, 'A dichotomy for groupoid C∗-algebras', Ergodic Theory and Dynamical Systems, 40, pp. 521 - 563, http://dx.doi.org/10.1017/etds.2018.52

Clark LO; Exel R; Pardo E; Sims A; Starling C, 2019, 'Simplicity of algebras associated to non-Hausdorff groupoids', Transactions of the American Mathematical Society, 372, pp. 3669 - 3712, http://dx.doi.org/10.1090/tran/7840

Brownlowe N; Hawkins M; Sims A, 2019, 'The Toeplitz noncommutative solenoid and its Kubo-Martin-Schwinger states - CORRIGENDUM', Ergodic Theory and Dynamical Systems, 39, pp. 2592, http://dx.doi.org/10.1017/etds.2018.134

Sims A, 2019, 'The suspension of a graph, and associated C⁎-algebras', Journal of Functional Analysis, 277, pp. 1202 - 1257, http://dx.doi.org/10.1016/j.jfa.2019.03.005

Rennie A; Robertson D; Sims A, 2019, 'Poincaré duality for Cuntz–Pimsner algebras', Advances in Mathematics, 347, pp. 1112 - 1172, http://dx.doi.org/10.1016/j.aim.2019.02.032

Bruce C; Laca M; Ramagge J; Sims A, 2019, 'Equilibrium states and growth of quasi-lattice ordered monoids', Proceedings of the American Mathematical Society, 147, pp. 2389 - 2404, http://dx.doi.org/10.1090/proc/14108

Clark LO; Edie-Michell C; Huef AA; Sims A, 2019, 'Ideals of steinberg algebras of strongly effective groupoids, with applications to leavitt path algebras', Transactions of the American Mathematical Society, 371, pp. 5461 - 5486, http://dx.doi.org/10.1090/tran/7460

Ionescu M; Kumjian A; Sims A; Williams DP, 2019, 'The Dixmier-Douady classes of certain groupoid C*-algebras with continuous trace', Journal of Operator Theory, 81, pp. 407 - 431, http://dx.doi.org/10.7900/jot.2018mar07.2209

Brownlowe N; Hawkins M; Sims A, 2019, 'The Toeplitz noncommutative solenoid and its Kubo-Martin-Schwinger states', Ergodic Theory and Dynamical Systems, 39, pp. 105 - 131, http://dx.doi.org/10.1017/etds.2017.7

Pask D; Sierakowski A; Sims A, 2019, 'Unbounded quasitraces, stable finiteness and pure infiniteness', Houston Journal of Mathematics, 45, pp. 763 - 814

Claramunt J; Sims A, 2018, 'Preferred traces on C⁎-algebras of self-similar groupoids arising as fixed points', Journal of Mathematical Analysis and Applications, 466, pp. 806 - 818, http://dx.doi.org/10.1016/j.jmaa.2018.06.019

Rennie A; Robertson D; Sims A, 2018, 'Erratum to: Groupoid algebras as cuntz-pimsner algebras (Mathematica Scandinavica (2018) 120: 1 (115–123) DOI: 10.7146/math.scand.a-25507)', Mathematica Scandinavica, 123, pp. 160, http://dx.doi.org/10.7146/math.scand.a-105830

Ionescu M; Kumjian A; Sims A; Williams DP, 2018, 'A stabilization theorem for Fell bundles over groupoids', Proceedings of the Royal Society of Edinburgh Section A Mathematics, 148, pp. 79 - 100, http://dx.doi.org/10.1017/S0308210517000129

Kumjian A; Pask D; Sims A, 2018, 'Graded C*-Algebras, graded K-theory, and twisted P-graph C*-algebras', Journal of Operator Theory, 80, pp. 295 - 348, http://dx.doi.org/10.7900/jot.2017sep28.2192

Ara P; Hazrat R; Li H; Sims A, 2018, 'Graded steinberg algebras and their representations', Algebra and Number Theory, 12, pp. 131 - 172, http://dx.doi.org/10.2140/ant.2018.12.131

Robertson D; Rout J; Sims A, 2018, 'KMS States on Generalised Bunce–Deddens Algebras and their Toeplitz Extensions', Bulletin of the Malaysian Mathematical Sciences Society, 41, pp. 123 - 157, http://dx.doi.org/10.1007/s40840-015-0244-8

Hajac PM; Nest R; Pask D; Sims A; Zielinski B, 2018, 'The K-theory of twisted multipullback quantum odd spheres and complex projective spaces', Journal of Noncommutative Geometry, 12, pp. 823 - 863, http://dx.doi.org/10.4171/JNCG/292

Rennie A; Robertson D; Sims A, 2017, 'Groupoid Fell bundles for product systems over quasi-lattice ordered groups', Mathematical Proceedings of the Cambridge Philosophical Society, 163, pp. 561 - 580, http://dx.doi.org/10.1017/S0305004117000202

Ara P; Bosa J; Hazrat R; Sims A, 2017, 'Reconstruction of graded groupoids from graded Steinberg algebras', Forum Mathematicum, 29, pp. 1023 - 1037, http://dx.doi.org/10.1515/forum-2016-0072

Rennie A; Sims A, 2017, 'Non-commutative vector bundles for non-unital Algebras', Symmetry Integrability and Geometry Methods and Applications Sigma, 13, http://dx.doi.org/10.3842/SIGMA.2017.041

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