Bauer simplices and the small boundary property
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.
Authors
- David Kerr (ORCID: https://orcid.org/0000-0001-7113-4899)
- Spyridon Petrakos (ORCID: https://orcid.org/0009-0005-3384-807X)
- Grigoris Kopsacheilis (ORCID: https://orcid.org/0000-0002-2773-0420)
Institutions
- University of Münster (DE)
Publication Details
- Journal
- Journal of Functional Analysis
- Published
- 2024-08-13
- DOI
- https://doi.org/10.1016/j.jfa.2024.110619
- Primary Topic
- Advanced Operator Algebra Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00