\(C^*\)-simplicity and the amenable radical
From MaRDI portal
Publication:2406815
DOI10.1007/s00222-016-0706-0zbMath1383.46043arXiv1507.03452OpenAlexW2962721096MaRDI QIDQ2406815
Publication date: 6 October 2017
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1507.03452
Geometric group theory (20F65) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Classifications of (C^*)-algebras (46L35)
Related Items (21)
Noncommutative Furstenberg boundary ⋮ Topological Boundaries of Unitary Representations ⋮ Furstenberg boundary of minimal actions ⋮ THE SET OF 2-GENERETED $C^*$-SIMPLE RELATIVELY FREE GROUPS HAS THE CARDINALITY OF THE CONTINUUM ⋮ On invariant subalgebras of group and von Neumann algebras ⋮ Piecewise strongly proximal actions, free boundaries and the Neretin groups ⋮ Stationary \(C^\ast \)-dynamical systems (with an appendix by Uri Bader, Yair Hartman, and Mehrdad Kalantar) ⋮ Triple transitivity and non‐free actions in dimension one ⋮ Unnamed Item ⋮ On reduced twisted group \(C^{\ast}\)-algebras that are simple and/or have a unique trace ⋮ Amenable uniformly recurrent subgroups and lattice embeddings ⋮ Uniqueness questions for \(C^\ast\)-norms on group rings ⋮ \(C^*\)-simplicity and the unique trace property for discrete groups ⋮ \(C^\ast\)-simplicity of free products with amalgamation and radical classes of groups ⋮ Non-inner amenability of the Thompson groups \(T\) and \(V\) ⋮ Subgroup dynamics and $C^\ast$-simplicity of groups of homeomorphisms ⋮ \(C^*\)-simplicity of HNN extensions and groups acting on trees ⋮ Quasi-regular representations of discrete groups and associated $C^*$-algebras ⋮ Boundary maps, germs and quasi-regular representations ⋮ Coloured Neretin groups ⋮ A New Look at C∗-Simplicity and the Unique Trace Property of a Group
Cites Work
- Unnamed Item
- Unnamed Item
- Groups acting on trees with almost prescribed local action
- Ping pong on CAT(0) cube complexes
- \(C^*\)-simple groups without free subgroups
- \(C^*\)-simplicity of locally compact Powers groups
- \(C^*\)-simplicity and the unique trace property for discrete groups
- Relatively hyperbolic groups are \(C^*\)-simple.
- Free subgroups in the automorphism groups of trees.
- Simplicity of the \(C^*\)-algebra associated with the free group on two generators
- \(C^*\)-algebras associated with free products of groups
- Groups with simple reduced \(C^*\)-algebras
- A product for permutation groups and topological groups
- Some groups whose reduced \(C^*\)-algebra is simple
- Mapping class groups and outer automorphism groups of free groups are \(C^{*}\)-simple
- Boundaries of reduced \(C^\ast\)-algebras of discrete groups
- Cocycle superrigidity and bounded cohomology for negatively curved spaces
- C*-SIMPLE GROUPS: AMALGAMATED FREE PRODUCTS, HNN EXTENSIONS, AND FUNDAMENTAL GROUPS OF 3-MANIFOLDS
- On simplicity of reduced C*-algebras of groups
- Groups of piecewise projective homeomorphisms
- Discrete groups and simple C*-algebras
- Hyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces
- Lattices in product of trees
This page was built for publication: \(C^*\)-simplicity and the amenable radical
