Inner amenability for groups and central sequences in factors

DOI10.1017/etds.2014.91zbMath1400.20033arXiv1307.5002OpenAlexW3100021966MaRDI QIDQ2813942

Thomas Sinclair, Ionut Chifan, Bogdan Teodor Udrea

Publication date: 17 June 2016

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.5002

Mathematics Subject Classification ID

Geometric group theory (20F65) General theory of von Neumann algebras (46L10) Topological methods in group theory (57M07) Hyperbolic groups and nonpositively curved groups (20F67) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (12)

Tensor product decompositions of \(\mathrm{II}_1\) factors arising from extensions of amalgamated free product groups ⋮ On acylindrical hyperbolicity of groups with positive first ℓ²-Betti number ⋮ Dynamical alternating groups, stability, property Gamma, and inner amenability ⋮ Invariant subalgebras of von Neumann algebras arising from negatively curved groups ⋮ Rigidity results for von Neumann algebras arising from mixing extensions of profinite actions of groups on probability spaces ⋮ Invariant means and the structure of inner amenable groups ⋮ Stable actions of central extensions and relative property (T) ⋮ CAT(0) cube complexes and inner amenability ⋮ Prime \(\text{II}_1\) factors arising from actions of product groups ⋮ Some rigidity results for \(II_1\) factors arising from wreath products of property (T) groups ⋮ New examples of \({W}^\ast\) and \({C}^\ast \)-superrigid groups ⋮ On invariant von Neumann subalgebras rigidity property

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