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Mathematics

D-Index
36
Citations
3403
World Ranking
2701
National Ranking
61

Overview

Aidan Sims is affiliated with the University of Wollongong in Australia and has contributed extensively to the field of Mathematics, particularly focusing on areas such as Mathematical Physics, Algebra and Number Theory, and Geometry and Topology. Their work spans several subfields including Statistical and Nonlinear Physics and Computational Theory and Mathematics.

Their research primarily addresses topics like Advanced Operator Algebra Research, Advanced Topics in Algebra, and Homotopy and Cohomology in Algebraic Topology. Other notable areas of interest include Noncommutative and Quantum Gravity Theories, Algebraic structures and combinatorial models, Advanced Banach Space Theory, and Advanced Algebra and Logic.

Aidan Sims's recent papers include:

  • "Reconstruction of groupoids and C⁎-rigidity of dynamical systems," 2021, Advances in Mathematics
  • "Reconstruction of groupoids and C⁎-rigidity of dynamical systems," 2021, Research Online (University of Wollongong)
  • "The nuclear dimension of O∞ -stable C⁎-algebras," 2022, Advances in Mathematics
  • "The Groupoids of Adaptable Separated Graphs and Their Type Semigroups," 2020, International Mathematics Research Notices
  • "Higher dimensional generalizations of the Thompson groups via higher rank graphs," 2023, Journal of Pure and Applied Algebra

The frequent coauthors collaborating with Aidan Sims include Dana P. Williams, Gábor Szabó, Toke Meier Carlsen, Nathan Brownlowe, and Abraham C. S. Ng. These collaborations indicate an interconnected research network within advanced mathematical topics.

Their publications commonly appear in venues specializing in mathematics such as arXiv (Cornell University), Research Online (University of Wollongong), Advances in Mathematics, International Mathematics Research Notices, and the Journal of the Australian Mathematical Society.

In addition to articles, Aidan Sims has published a book titled Operator Algebras and Dynamics: Groupoids, Crossed Products, and Rokhlin Dimension in 2020 through Springer International Publishing. This work reflects their deeper involvement in operator algebras and dynamical systems.

Best Publications

  • Higher-rank graphs and their C*-algebras

    Iain Raeburn;Aidan Sims;Trent Yeend

  • Simplicity of algebras associated to étale groupoids

    Jonathan H. Brown;Lisa Orloff Clark;Cynthia Farthing;Aidan Sims

  • The C*-algebras of finitely aligned higher-rank graphs

    Iain Raeburn;Aidan Sims;Trent Yeend

  • A groupoid generalisation of Leavitt path algebras

    Lisa Orloff Clark;Cynthia Farthing;Aidan Sims;Mark Tomforde

  • Simplicity of C*‐algebras associated to higher‐rank graphs

    David I. Robertson;Aidan Sims

  • Rank-two graphs whose C∗-algebras are direct limits of circle algebras

    David Pask;Iain Raeburn;Mikael Rørdam;Aidan Sims

  • Equivalent groupoids have Morita equivalent Steinberg algebras

    Lisa Orloff Clark;Aidan Sims

  • Product systems of graphs and the Toeplitz algebras of higher-rank graphs

    Iain Raeburn;Aidan Sims

  • C*-algebras associated to product systems of hilbert bimodules

    Aidan Sims;Trent Yeend

  • Co-universal algebras associated to product systems, and gauge-invariant uniqueness theorems

    Toke Meier Carlsen;Nadia S. Larsen;Aidan Sims;Sean T. Vittadello

  • GAUGE-INVARIANT IDEALS IN THE C ∗ -ALGEBRAS OF FINITELY ALIGNED HIGHER-RANK GRAPHS

    Aidan Sims

  • Product systems over right-angled Artin semigroups

    Neal J Fowler;Aidan Sims

  • Equivalence and stable isomorphism of groupoids, and diagonal-preserving stable isomorphisms of graph C*-algebras and Leavitt path algebras

    Toke Meier Carlsen;Efren Ruiz;Aidan Sims

  • Remarks on some fundamental results about higher-rank graphs and their C*-algebras

    Robert Hazlewood;Iain Raeburn;Aidan Sims;Samuel B. G. Webster

  • KMS states on the C∗-algebras of finite graphs

    Astrid An Huef;Marcelo Laca;Iain F Raeburn;Aidan D Sims

  • Operator Algebras and Dynamics: Groupoids, Crossed Products, and Rokhlin Dimension

    Aidan Sims;Gábor Szabó;Dana Williams

  • Graded Steinberg algebras and their representations

    Pere Ara;Roozbeh Hazrat;Huanhuan Li;Aidan Sims

  • KMS states on the C*-algebra of a higher-rank graph and periodicity in the path space

    Astrid An Huef;Marcelo Laca;Iain F Raeburn;Aidan Sims

  • On twisted higher-rank graph C*-algebras

    Alex Kumjian;David A Pask;Aidan Sims

  • KMS states on C⁎-algebras associated to higher-rank graphs☆

    Astrid an Huef;Marcelo Laca;Iain Raeburn;Aidan Sims

  • The Noncommutative Geometry of k-graph C*-Algebras

    David A Pask;Adam Rennie;Aidan Sims

  • On some fundamental results about higher-rank graphs and their C*-algebras

    Robert Hazlewood;Iain Raeburn;Aidan Sims;Samuel B. G. Webster

Frequent Co-Authors

Iain Raeburn
Iain Raeburn Victoria University of Wellington
Mikael Rørdam
Mikael Rørdam University of Copenhagen
Ruy Exel
Ruy Exel Universidade Federal de Santa Catarina

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