\(C^\ast \)-irreducibility of commensurated subgroups

DOI10.2140/pjm.2023.322.369arXiv2210.00827OpenAlexW4377989526MaRDI QIDQ6043864

Eduardo Scarparo, Kang Li

Publication date: 25 May 2023

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.00827

zbMATH Keywords

Furstenberg boundarycommensurated subgroups\(C^\ast \)-simplicity

Mathematics Subject Classification ID

(C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Cites Work

• \(C^*\)-simplicity and the unique trace property for discrete groups
• Proximal flows
• Compact presentability of tree almost automorphism groups
• Bernoulli disjointness
• \(C^\ast \)-irreducibility for reduced twisted group \(C^\ast \)-algebras
• Strong amenability and the infinite conjugacy class property
• Boundaries of reduced \(C^\ast\)-algebras of discrete groups
• Rigidity of amalgamated free products in measure equivalence
• An intrinsic characterization of C*-simplicity
• Hecke algebras
• Subgroup dynamics and $C^\ast$-simplicity of groups of homeomorphisms
• On universal minimal proximal flows of topological groups
• Future directions in locally compact groups: a tentative problem list
• On Intermediate Subalgebras of C*-simple Group Actions
• Relative C∗-simplicity and characterizations for normal subgroups
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