C*-SIMPLE GROUPS: AMALGAMATED FREE PRODUCTS, HNN EXTENSIONS, AND FUNDAMENTAL GROUPS OF 3-MANIFOLDS

DOI10.1142/S1793525311000659zbMath1243.57001arXiv0909.3528OpenAlexW2060347577MaRDI QIDQ3225685

Jean-Philippe Préaux, Pierre De la Harpe

Publication date: 22 March 2012

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.3528

zbMATH Keywords

HNN extensionsgroups acting on treesgraphs of groupsBaumslag-Solitar groupsamalgamated free productsfundamental groups of 3-manifolds\(C^*\)-simplicityslender automorphisms

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Fundamental group, presentations, free differential calculus (57M05) Groups acting on trees (20E08)

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