Classification results for nonsingular Bernoulli crossed products
Tom 268 / 2023
Streszczenie
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 III that cannot be distinguished by Connes \tau -invariant. These are the first such classification results beyond the well studied probability measure preserving case.