Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4665342 | Advances in Mathematics | 2015 | 37 Pages |
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.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Stefaan Vaes, Peter Verraedt,