Stabilizers of stationary actions of lattices in semisimple groups
Darren Creutz
United States Naval Academy, Annapolis, USA
Abstract
Every stationary action of a strongly irreducible lattice or commensurator of such a lattice in a general semisimple group, with at least one higher-rank connected factor, either has finite stabilizers almost surely or finite index stabilizers almost surely. Consequently, every minimal action of such a lattice on an infinite compact metric space is topologically free.
Cite this article
Darren Creutz, Stabilizers of stationary actions of lattices in semisimple groups. Groups Geom. Dyn. 18 (2024), no. 2, pp. 551–570
DOI 10.4171/GGD/771