Strong rigidity of generalized Bernoulli actions and computations of their symmetry groups

Details Strong rigidity of generalized Bernoulli actions and computations of their symmetry groups Strong rigidity of generalized Bernoulli actions and computations of their symmetry groups

2006-05-16

arxiv.org/abs/math/0605456v2

Advances in Mathematics, vol. 217 (2008), 833--872.

Mathematics

Operator Algebras

Some remarks added and a few minor corrections made

Scientific paper

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.

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