Faithful invariant random subgroups in acylindrically hyperbolic groups
Group Theory
2022-08-25 v1 Dynamical Systems
Abstract
Building on work from Sun and Kechris-Quorning, we prove that every acylindrically hyperbolic group admits a weakly mixing probability measure preserving action which is faithful but not essentially free. In other words, admits a weakly mixing nontrivial faithful IRS. We also prove that every non-elementary hyperbolic group admits a characteristic random subgroup with the same properties.
Cite
@article{arxiv.2208.11624,
title = {Faithful invariant random subgroups in acylindrically hyperbolic groups},
author = {Yair Glasner and Anton Hase},
journal= {arXiv preprint arXiv:2208.11624},
year = {2022}
}
Comments
14 pages, 1 figure