Invariant random subgroups and action versus representation maximality
Dynamical Systems
2016-08-05 v1 Logic
Abstract
We show that weak containment of free ergodic measure-preserving actions of is not equivalent to weak containment of the corresponding Koopman representations. This result is based on the construction of an invariant random subgroup of which is supported on the maximal actions.
Cite
@article{arxiv.1608.01331,
title = {Invariant random subgroups and action versus representation maximality},
author = {Peter J. Burton and Alexander S. Kechris},
journal= {arXiv preprint arXiv:1608.01331},
year = {2016}
}