Inner amenability and HNN extensions.

DOI10.5802/aif.2183zbMath1143.20013arXivmath/0505657OpenAlexW1724865011MaRDI QIDQ2488752

Yves Stalder

Publication date: 15 May 2006

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

Full work available at URL: https://arxiv.org/abs/math/0505657

zbMATH Keywords

HNN extensionsBaumslag-Solitar groupsBass-Serre treesinner amenabilitygroups with infinite conjugacy classesproperty ICC

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Groups acting on trees (20E08) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (15)

Hyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces ⋮ Reidemeister classes and twisted inner representations. ⋮ C*-SIMPLE GROUPS: AMALGAMATED FREE PRODUCTS, HNN EXTENSIONS, AND FUNDAMENTAL GROUPS OF 3-MANIFOLDS ⋮ A note on the von Neumann algebra of a Baumslag-Solitar group ⋮ An inner amenable group whose von Neumann algebra does not have property Gamma ⋮ Inner amenable groups having no stable action ⋮ Strongly singular MASAs and mixing actions in finite von Neumann algebras ⋮ Stable actions of central extensions and relative property (T) ⋮ CAT(0) cube complexes and inner amenability ⋮ Fundamental groups of 3-folds and operator algebras ⋮ Inner amenability, property Gamma, McDuff factors and stable equivalence relations ⋮ Infinite conjugacy classes in groups acting on trees. ⋮ ON THE STRUCTURE OF SOME REDUCED AMALGAMATED FREE PRODUCT C*-ALGEBRAS ⋮ On simplicity of reduced C*-algebras of groups ⋮ Stability in orbit equivalence for Baumslag-Solitar groups and Vaes groups

Cites Work

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• Inner amenability of groups: definitions and examples
• Weak forms of amenability for one-relator groups
• On rings of operators. IV
• Property Γ and Inner Amenability
• Moyennabilité intérieure du groupe F de Thompson

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