Mapping class groups and outer automorphism groups of free groups are \(C^{*}\)-simple

DOI10.1016/S0022-1236(03)00216-7zbMath1064.46052arXivmath/0306204OpenAlexW2013202286MaRDI QIDQ1883221

Martin R. Bridson, Pierre De la Harpe

Publication date: 1 October 2004

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0306204

zbMATH Keywords

subgroupsouter automorphism groups of free groupsreduced \(C^*\)-algebrascenterless mapping class groups

Mathematics Subject Classification ID

Geometric group theory (20F65) Noncommutative dynamical systems (46L55) Automorphism groups of groups (20F28)

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Hyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces, \(C^\ast\)-simplicity of \(n\)-periodic products, Relatively hyperbolic groups are \(C^*\)-simple., \(C^*\)-simplicity and the amenable radical, THE SET OF 2-GENERETED $C^*$-SIMPLE RELATIVELY FREE GROUPS HAS THE CARDINALITY OF THE CONTINUUM, Stationary \(C^\ast \)-dynamical systems (with an appendix by Uri Bader, Yair Hartman, and Mehrdad Kalantar), Groups not presentable by products., Subgroup Decomposition in 𝖮𝗎𝗍(𝖥_{𝗇}), \(C^*\)-simple groups without free subgroups, Transitivity degrees of countable groups and acylindrical hyperbolicity, PING-PONG AND OUTER SPACE, On a family of unitary representations of mapping class groups, Stabilizers of ℝ-trees with free isometric actions of F_N , On simplicity of reduced C*-algebras of groups

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• IRREDUCIBLE AUTOMORPHISMS OF $F_{n}$ HAVE NORTH–SOUTH DYNAMICS ON COMPACTIFIED OUTER SPACE
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