\(C^*\)-simplicity of locally compact Powers groups

DOI10.1515/crelle-2016-0026zbMath1419.46035arXiv1505.07793OpenAlexW2963313459MaRDI QIDQ667999

Sven Raum

Publication date: 4 March 2019

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.07793

zbMATH Keywords

groups acting on treesgroup von Neumann algebras\({C}^\ast\)-simple groupreduced group \({C}^\ast\)-algebra

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) General theory of (C^*)-algebras (46L05) Special aspects of infinite or finite groups (20F99)

Related Items (8)

C-simplicity has no local obstruction ⋮ Rigidity for von Neumann algebras given by locally compact groups and their crossed products ⋮ Erratum to: ``\(C^\ast\)-simplicity of locally compact Powers groups ⋮ \(C^*\)-simplicity and the amenable radical ⋮ A type I conjecture and boundary representations of hyperbolic groups ⋮ Piecewise strongly proximal actions, free boundaries and the Neretin groups ⋮ Factorial multiparameter Hecke von Neumann algebras and representations of groups acting on right-angled buildings ⋮ Ozawa's class𝒮for locally compact groups and unique prime factorization of group von Neumann algebras

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