Work

Bauer simplices and the small boundary property

Year: 2024

Type: article

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.

Source: Journal of Functional Analysis

DOI: 10.1016/j.jfa.2024.110619

Authors: David Kerr, Grigoris Kopsacheilis, Spyridon Petrakos

Language: English

Topic: Advanced Banach Space Theory

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,670

Funders: Deutsche Forschungsgemeinschaft, European Research Council, H2020 European Research Council