\(C^\ast \)-simplicity of relative profinite completions of generalized Baumslag-Solitar groups

DOI10.4171/PRIMS/60-2-3MaRDI QIDQ6618962

Miho Mukohara

Publication date: 15 October 2024

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

zbMATH Keywords

locally compact groupgeneralized Baumslag-Solitar groups\(C^\ast \)-simplicity

Mathematics Subject Classification ID

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

Cites Work

• Title not available (Why is that?)
• \(C^*\)-simplicity of locally compact Powers groups
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• Boundaries of reduced \(C^\ast\)-algebras of discrete groups
• Erratum to: ``\(C^\ast\)-simplicity of locally compact Powers groups
• Elementary constructions of non-discrete 𝐶*-simple groups
• C*-SIMPLE GROUPS: AMALGAMATED FREE PRODUCTS, HNN EXTENSIONS, AND FUNDAMENTAL GROUPS OF 3-MANIFOLDS
• An intrinsic characterization of C*-simplicity
• On simplicity of reduced C*-algebras of groups
• C-simplicity has no local obstruction
• Elementary totally disconnected locally compact groups
• A New Look at C∗-Simplicity and the Unique Trace Property of a Group

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