Elementary constructions of non-discrete 𝐶*-simple groups

DOI10.1090/proc/13301zbMath1354.22010arXiv1604.03032OpenAlexW3101619693MaRDI QIDQ2951173

Yuhei Suzuki

Publication date: 29 December 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.03032

zbMATH Keywords

locally compact groupgroup von Neumann algebra\(C^\ast\)-simplicity

Mathematics Subject Classification ID

(C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) General theory of (C^*)-algebras (46L05)

Related Items (8)

C-simplicity has no local obstruction ⋮ Erratum to: ``\(C^\ast\)-simplicity of locally compact Powers groups ⋮ Inner amenability and approximation properties of locally compact quantum groups ⋮ Factorial multiparameter Hecke von Neumann algebras and representations of groups acting on right-angled buildings ⋮ The approximation property and exactness of locally compact groups ⋮ Exactness versus \(C^*\)-exactness for certain non-discrete groups ⋮ Ozawa's class𝒮for locally compact groups and unique prime factorization of group von Neumann algebras ⋮ Amenability and approximation properties for partial actions and Fell bundles

Cites Work

• \(C^*\)-simplicity and the unique trace property for discrete groups
• Outer automorphisms and reduced crossed products of simple C*-algebras
• Simplicity of the \(C^*\)-algebra associated with the free group on two generators
• Type analysis of the regular representation of a non-unimodular group
• Boundaries of reduced \(C^\ast\)-algebras of discrete groups
• Erratum to: ``\(C^\ast\)-simplicity of locally compact Powers groups
• On simplicity of reduced C*-algebras of groups
• Une classification des facteurs de type ${\rm III}$

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