\(C^*\)-simplicity of HNN extensions and groups acting on trees

DOI10.5802/aif.3378zbMath1491.22002arXiv1711.10442OpenAlexW3156675601MaRDI QIDQ2027740

Nikolay A. Ivanov, Rasmus Sylvester Bryder, Tron Å. Omland

Publication date: 28 May 2021

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.10442

zbMATH Keywords

discrete groupboundary actionHNN extensionunique tracial statereduced group \(C^*\)-algebra\(C^*\)-simple group

Mathematics Subject Classification ID

(C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) General theory of (C^*)-algebras (46L05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Groups acting on trees (20E08)

Related Items

Classifiability of crossed products by nonamenable groups, Unnamed Item, \(C^\ast \)-irreducibility for reduced twisted group \(C^\ast \)-algebras

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