Realizing uniformly recurrent subgroups - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Ergodic Theory and Dynamical Systems Année : 2020

Realizing uniformly recurrent subgroups

Résumé

We show that every uniformly recurrent subgroup of a locally compact group is the family of stabilizers of a minimal action on a compact space. More generally, every closed invariant subset of the Chabauty space is the family of stabilizers of an action on a compact space on which the stabilizer map is continuous everywhere. This answers a question of Glasner and Weiss. We also introduce the notion of a universal minimal flow relative to a uniformly recurrent subgroup and prove its existence and uniqueness.

Dates et versions

hal-04152219 , version 1 (05-07-2023)

Identifiants

Citer

Nicolás Matte Bon, Todor Tsankov. Realizing uniformly recurrent subgroups. Ergodic Theory and Dynamical Systems, 2020, 40 (2), pp.478-489. ⟨10.1017/etds.2018.47⟩. ⟨hal-04152219⟩
2 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More