Maximal amenable subalgebras of von Neumann algebras associated with hyperbolic groups
Language
en
Article de revue
This item was published in
Mathematische Annalen. 2017
Springer Verlag
English Abstract
We prove that for any infinite, maximal amenable subgroup H in a hyperbolic group G, the von Neumann subalgebra LH is maximal amenable inside LG. It provides many new, explicit examples of maximal amenable subalgebras in ...Read more >
We prove that for any infinite, maximal amenable subgroup H in a hyperbolic group G, the von Neumann subalgebra LH is maximal amenable inside LG. It provides many new, explicit examples of maximal amenable subalgebras in II 1 factors. We also prove similar maximal amenability results for direct products of relatively hyperbolic groups and orbit equivalence relations arising from measure-preserving actions of such groups.Read less <
Origin
Hal imported