%0 Journal Article
%T Classification of type III Bernoulli crossed products
%A Stefaan Vaes
%A Peter Verraedt
%J Mathematics
%D 2014
%I arXiv
%R 10.1016/j.aim.2015.05.004
%X Crossed products with noncommutative Bernoulli actions were introduced by Connes as the first examples of full factors of type III. This article provides a complete classification of the factors $(P,\phi)^{\mathbb{F}_n} \rtimes \mathbb{F}_n$, where $\mathbb{F}_n$ is the free group and P is an amenable factor with an almost periodic state $\phi$. We show that these factors are completely classified by the rank n of the free group $\mathbb{F}_n$ and Connes's Sd-invariant. We prove similar results for free product groups, as well as for classes of generalized Bernoulli actions.
%U http://arxiv.org/abs/1408.6414v2