Classification results for nonsingular Bernoulli crossed products
Operator Algebras
2023-07-11 v1 Dynamical Systems
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 III that cannot be distinguished by Connes -invariant. These are the first such classification results beyond the well studied probability measure preserving case.
Keywords
Cite
@article{arxiv.2202.07323,
title = {Classification results for nonsingular Bernoulli crossed products},
author = {Stefaan Vaes and Bram Verjans},
journal= {arXiv preprint arXiv:2202.07323},
year = {2023}
}