Classification results for nonsingular Bernoulli crossed products
Abstract
We prove rigidity and classification results for type III factors given by nonsingular Bernoulli actions of the free groups and more general free product groups. This includes a large family of nonisomorphic Bernoulli crossed products of type III1 that cannot be distinguished by Connes τ-invariant. These are the first such classification results beyond the well studied probability measure preserving case.
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