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arXiv · 2404.04634

Bauer simplices and the small boundary property

David Kerr·Grigoris Kopsacheilis·Spyridon Petrakos
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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.

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David Kerr, Grigoris Kopsacheilis, Spyridon Petrakos. 2024-04-06. Bauer simplices and the small boundary property. https://arxiv.org/abs/2404.04634

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