Strong rigidity of generalized Bernoulli actions and computations of their symmetry groups
Operator Algebras
2008-04-04 v2 Group Theory
Abstract
We study equivalence relations and II_1 factors associated with (quotients of) generalized Bernoulli actions of Kazhdan groups. Specific families of these actions are entirely classified up to isomorphism of II_1 factors. This yields explicit computations of outer automorphism and fundamental groups. In particular, every finitely presented group is concretely realized as the outer automorphism group of a continuous family of non stably isomorphic II_1 factors.
Keywords
Cite
@article{arxiv.math/0605456,
title = {Strong rigidity of generalized Bernoulli actions and computations of their symmetry groups},
author = {Sorin Popa and Stefaan Vaes},
journal= {arXiv preprint arXiv:math/0605456},
year = {2008}
}
Comments
Some remarks added and a few minor corrections made