Geodesic
Stabilizers of stationary actions of lattices in semisimple groups
Darren Creutz1 orcid
1United States Naval Academy, Annapolis, USA
Groups, geometry, and dynamics, Tome 18 (2024) no. 2, pp. 551-570

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DOI

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.
DOI : 10.4171/ggd/771
Classification : 22E40, 22F10
Mots-clés : semisimple groups, lattices, stabilizers

Darren Creutz  1

1 United States Naval Academy, Annapolis, USA 
Darren Creutz. Stabilizers of stationary actions of lattices in semisimple groups. Groups, geometry, and dynamics, Tome 18 (2024) no. 2, pp. 551-570. doi: 10.4171/ggd/771
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