Orbit equivalence superrigidity for type III$_0$ actions
Operator Algebras
2023-11-08 v2 Dynamical Systems
Group Theory
Abstract
We prove the first orbit equivalence superrigidity results for actions of type III when . These actions arise as skew products of actions of dense subgroups of on the sphere and they can have any prescribed associated flow.
Keywords
Cite
@article{arxiv.2205.15457,
title = {Orbit equivalence superrigidity for type III$_0$ actions},
author = {Stefaan Vaes and Bram Verjans},
journal= {arXiv preprint arXiv:2205.15457},
year = {2023}
}
Comments
v2: minor changes, final version, to appear in Ergodic Theory and Dynamical Systems