Article ID Journal Published Year Pages File Type
4665342 Advances in Mathematics 2015 37 Pages PDF
Abstract

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,ϕ)Fn⋊Fn(P,ϕ)Fn⋊Fn, where FnFn is the free group and P is an amenable factor with an almost periodic state ϕ. We show that these factors are completely classified by the rank n   of the free group FnFn and Connes's Sd-invariant. We prove similar results for free product groups, as well as for classes of generalized Bernoulli actions.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
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