Bauer simplices and the small boundary property
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866912007856324608 |
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| author | Kerr, David Kopsacheilis, Grigoris Petrakos, Spyridon |
| author_facet | Kerr, David Kopsacheilis, Grigoris Petrakos, Spyridon |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_04634 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bauer simplices and the small boundary property Kerr, David Kopsacheilis, Grigoris Petrakos, Spyridon Dynamical Systems Operator Algebras 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. |
| title | Bauer simplices and the small boundary property |
| topic | Dynamical Systems Operator Algebras |
| url | https://arxiv.org/abs/2404.04634 |