Bauer simplices and the small boundary property
David Kerr, Grigoris Kopsacheilis, Spyridon Petrakos · arXiv (Cornell University) · 2024
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.