Stabilizer Rigidity in Irreducible Group Actions
Dynamical Systems
2016-10-25 v3 Group Theory
Abstract
We consider irreducible actions of locally compact product groups, and of higher rank semi-simple Lie groups. Using the intermediate factor theorems of Bader-Shalom and Nevo-Zimmer, we show that the action stabilizers, and all irreducible invariant random subgroups, are co-amenable in their normal closure. As a consequence, we derive rigidity results on irreducible actions that generalize and strengthen the results of Bader-Shalom and Stuck-Zimmer.
Cite
@article{arxiv.1307.7539,
title = {Stabilizer Rigidity in Irreducible Group Actions},
author = {Yair Hartman and Omer Tamuz},
journal= {arXiv preprint arXiv:1307.7539},
year = {2016}
}
Comments
25 pages