Bauer simplices and the small boundary property
Dynamical Systems
2024-09-02 v2 Operator Algebras
Abstract
We show that, for every minimal action of a countably infinite discrete group on a compact metrizable space, if the extreme boundary of the simplex of invariant Borel probability measures is closed and has finite covering dimension then the action has the small boundary property.
Cite
@article{arxiv.2404.04634,
title = {Bauer simplices and the small boundary property},
author = {David Kerr and Grigoris Kopsacheilis and Spyridon Petrakos},
journal= {arXiv preprint arXiv:2404.04634},
year = {2024}
}
Comments
v2: minor edits; this is the published version; J. Funct. Anal. 287 (2024) 110619, 21 pp. v1: 17 pages