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Aidan Sims

  1. Étale groupoids and their C^*-algebras
    2017/10/30 by Aidan Sims, Sims, Aidan · 11 citations
    Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Homotopy and Cohomology in Algebraic Topology
  2. Simplicity of algebras associated to étale groupoids
    2012/04/14 by Jonathan H. Brown, Brown, Jonathan H., Lisa Orloff Clark +5 · 5 citations
    Mathematics · Physics and Astronomy · #16S99 #22A22 (Secondary) #46L05 (Primary) #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Noncommutative and Quantum Gravity Theories #Operator Algebras (math.OA) #Rings and Algebras (math.RA)
  3. Ultragraph C*-algebras via topological quivers
    2006/11/10 by Takeshi Katsura, Paul S. Muhly, Katsura, Takeshi +5 · 4 citations
    Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models
  4. Ample groupoids: equivalence, homology, and Matui's HK conjecture
    2018/08/23 by Carla Farsi, Alex Kumjian, Farsi, Carla +5 · 4 citations
    Mathematics · #46L55 #46L80 #46L89 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Operator Algebras (math.OA)
  5. Equivalent groupoids have Morita equivalent Steinberg algebras
    2013/11/14 by Lisa Orloff Clark, Aidan Sims, Clark, Lisa Orloff +1 · 4 citations
    Mathematics · #16S10 #16S99 (Primary) #22A22 (Secondary) #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Operator Algebras (math.OA) #Rings and Algebras (math.RA)
  6. Higher-rank graphs and their C*-algebras
    2001/07/31 by Iain Raeburn, Raeburn, Iain, Aidan Sims +3 · 2 citations
    Mathematics · #46L05 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Combinatorics (math.CO) #FOS: Mathematics #Operator Algebras (math.OA) #Spectral Theory in Mathematical Physics #math.CO #math.OA #msc:46L05
  7. Gauge-invariant ideals in the C*-algebras of finitely aligned higher-rank graphs
    2004/06/29 by Aidan Sims, Sims, Aidan · 2 citations
    Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Noncommutative and Quantum Gravity Theories #math.OA #msc:46L05
  8. Uniqueness theorems for topological higher-rank graph C*-algebras
    2009/06/04 by Jean Renault, Aidan Sims, Renault, Jean N. +5 · 3 citations
    Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Noncommutative and Quantum Gravity Theories #Advanced Topics in Algebra
  9. Purely infinite simple C*-algebras that are principal groupoid\n C*-algebras
    2015/04/19 by Jonathan H. Brown, Lisa Orloff Clark, Brown, Jonathan H. +5 · 2 citations
    Mathematics · #46L05 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Operator Algebras (math.OA)
  10. On the K-theory of twisted higher-rank-graph C*-algebras
    2012/11/07 by Alex Kumjian, Kumjian, Alex, David Pask +3 · 2 citations
    Mathematics · #46L05 (Primary) 46L80 (Secondary) #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Operator Algebras (math.OA)
  11. A groupoid generalization of Leavitt path algebras
    2011/10/27 by Lisa Orloff Clark, Clark, Lisa Orloff, Cynthia Farthing +5 · 4 citations
    Mathematics · #16S99 (Primary) 16S10 #22A22 (Secondary) #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Operator Algebras (math.OA) #Rings and Algebras (math.RA)
  12. The groupoids of adaptable separated graphs and their type semigroup
    2019/04/10 by Pere Ara, Ara, Pere, Joan Bosa +5 · 3 citations
    Mathematics · #Advanced Operator Algebra Research #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology
  13. The K-theory of twisted multipullback quantum odd spheres and complex\n projective spaces
    2015/12/29 by Piotr M. Hajac, Hajac, Piotr M., Ryszard Nest +7 · 2 citations
    Mathematics · #Algebraic structures and combinatorial models #Advanced Algebra and Geometry #Advanced Operator Algebra Research
  14. The primitive ideals of some étale groupoid C*-algebras
    2015/01/10 by Aidan Sims, Dana P. Williams, Sims, Aidan +1 · 3 citations
    Mathematics · #46L05 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Operator Algebras (math.OA)
  15. Relative Cuntz-Krieger algebras of finitely aligned higher-rank graphs
    2003/12/08 by Aidan Sims, Sims, Aidan · 1 citation
    Mathematics · #46L05 (Primary) #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Operator Algebras (math.OA) #math.OA #msc:46L05
  16. Graph algebras, Exel-Laca algebras, and ultragraph algebras coincide up to Morita equivalence
    2008/09/01 by Takeshi Katsura, Katsura, Takeshi, Paul S. Muhly +5 · 1 citation
    Mathematics · #46L55 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Operator Algebras (math.OA)
  17. Homology for higher-rank graphs and twisted C*-algebras
    2011/10/07 by Alex Kumjian, David Pask, Kumjian, Alex +3 · 2 citations
    Computer Science · Mathematics · #55N10 #Advanced Operator Algebra Research #Algebraic Topology (math.AT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Operator Algebras (math.OA) #Primary 46L05 #Secondary 18G60 #Topological and Geometric Data Analysis
  18. KMS states on the C*-algebra of a higher-rank graph and periodicity in the path space
    2014/04/27 by Astrid an Huef, Huef, Astrid an, Marcelo Laca +5 · 1 citation
    Mathematics · Medicine · Physics and Astronomy · #46L30 #46L55 #Advanced Operator Algebra Research #FOS: Mathematics #Medical Imaging Techniques and Applications #Noncommutative and Quantum Gravity Theories #Operator Algebras (math.OA) #Spectral Theory in Mathematical Physics
  19. Unbounded quasitraces, stable finiteness and pure infiniteness
    2017/05/03 by David Pask, Adam Sierakowski, Pask, David +3 · 1 citation
    Mathematics · #46L05 #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Operator Algebras (math.OA)
  20. C*-algebras associated to product systems of Hilbert bimodules
    2007/12/18 by Aidan Sims, Trent Yeend, Sims, Aidan +1 · 1 citation
    Mathematics · #46L05 #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Operator Algebras (math.OA)
  21. Rank-two graphs whose C^*-algebras are direct limits of circle algebras
    2005/12/13 by David Pask, Iain Raeburn, Pask, David +5 · 2 citations
    Mathematics · #46L05 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Operator Algebras (math.OA) #Spectral Theory in Mathematical Physics
  22. The co-universal C*-algebra of a row-finite graph
    2008/09/13 by Aidan Sims, Sims, Aidan · 1 citation
    Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Advanced Banach Space Theory
  23. Renault's Equivalence Theorem for Reduced Groupoid C*-algebras
    2010/02/16 by Aidan Sims, Dana P. Williams, Sims, Aidan +1 · 1 citation
    Mathematics · #46L55 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Homotopy and Cohomology in Algebraic Topology #Operator Algebras (math.OA)
  24. Crossed products of k-graph C*-algebras by Zl
    2007/06/25 by Cynthia Farthing, Farthing, Cynthia, David Pask +3 · 2 citations
    Mathematics · #46L05 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Operator Algebras (math.OA)
  25. Reconstructing directed graphs from generalised gauge actions on their Toeplitz algebras
    2018/12/21 by Nathan Brownlowe, Brownlowe, Nathan, Marcelo Laca +5 · 1 citation
    Mathematics · #46L05 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Operator Algebras (math.OA)
  26. KMS states on the C*-algebras of finite graphs
    2012/05/10 by Astrid an Huef, Marcelo Laca, Huef, Astrid an +5 · 1 citation
    Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #FOS: Mathematics #Noncommutative and Quantum Gravity Theories #Operator Algebras (math.OA) #Quantum Electrodynamics and Casimir Effect
  27. Simplicity of C*-algebras associated to row-finite locally convex\n higher-rank graphs
    2007/08/01 by Robertson, David I., Aidan Sims, David I. Robertson +1 · 1 citation
    Materials Science · Mathematics · #05C99 (Secondary) #46L05 (Primary) #Advanced Operator Algebra Research #FOS: Mathematics #Operator Algebras (math.OA) #Organic and Molecular Conductors Research #Spectral Theory in Mathematical Physics
  28. Nuclear dimension of extensions of commutative C*-algebras by Kirchberg algebras
    2024/09/19 by Samuel Evington, Evington, Samuel, Abraham C. S. Ng +5 · 1 citation
    Mathematics · #46L05 #46L35 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Operator Algebras (math.OA)
  29. 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)
    2024/11/15 by Toke Meier Carlsen, Carlsen, Toke Meier, Anna Duwenig +5 · 1 citation
    Engineering · Mathematics · #46L05 #Advanced Operator Algebra Research #Elasticity and Wave Propagation #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Operator Algebras (math.OA)