Maximal amenable subalgebras of von Neumann algebras associated with hyperbolic groups

DOI10.1007/s00208-016-1419-9zbMath1369.46052arXiv1310.5864OpenAlexW2214568202MaRDI QIDQ522627

Rémi Boutonnet, Alessandro Carderi

Publication date: 18 April 2017

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.5864

zbMATH Keywords

von Neumann algebrahyperbolic group\(II_1\) factoramenable subalgebraamenable subgroup

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Noncommutative dynamical systems (46L55) Subfactors and their classification (46L37)

Related Items (8)

Some applications of group-theoretic Rips constructions to the classification of von Neumann algebras ⋮ Maximal amenability and disjointness for the radial masa ⋮ Maximal amenable von Neumann subalgebras arising from maximal amenable subgroups ⋮ Maximal von Neumann subalgebras arising from maximal subgroups ⋮ Gamma stability in free product von Neumann algebras ⋮ The cup subalgebra has the absorbing amenability property ⋮ Maximal subgroups and von Neumann subalgebras with the Haagerup property ⋮ On invariant von Neumann subalgebras rigidity property

Cites Work

• Unnamed Item
• Unnamed Item
• The cup subalgebra of a II\(_{1}\) factor given by a subfactor planar algebra is maximal amenable
• Maximal injective subalgebras in factors associated with free groups
• Maximal injective subalgebras of tensor products of free group factors
• Sur les groupes hyperboliques d'après Mikhael Gromov. (On the hyperbolic groups à la M. Gromov)
• Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
• Solid von Neumann algebras.
• Structure of \(\mathrm{II}_{1}\) factors arising from free Bogoljubov actions of arbitrary groups
• Boundary amenability of relatively hyperbolic groups.
• RELATIVELY HYPERBOLIC GROUPS
• The radial masa in a free group factor is maximal injective
• Relatively hyperbolic groups: intrinsic geometry, algebraic properties, and algorithmic problems
• Hyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces
• A class of ${II_1}$ factors with an exotic abelian maximal amenable subalgebra
• ELEMENTARY SUBGROUPS OF RELATIVELY HYPERBOLIC GROUPS AND BOUNDED GENERATION
• Relatively hyperbolic groups

This page was built for publication: Maximal amenable subalgebras of von Neumann algebras associated with hyperbolic groups