Bauer simplices and the small boundary property

被引：0
|
作者：
Kerr, David [1 ]
Kopsacheilis, Grigoris [1 ]
Petrakos, Spyridon [1 ]
机构：
[1] Univ Munster, Math Inst, Einsteinstr 62, D-48149 Munster, Germany
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2024年 / 287卷 / 11期
关键词：
Dynamical systems; Operator algebras; C-ASTERISK-ALGEBRAS; INVARIANT-MEASURES; INDUCTIVE LIMITS; RANK; CLASSIFICATION;
D O I：
10.1016/j.jfa.2024.110619
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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. (c) 2024 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY license (http:// creativecommons .org /licenses /by /4 .0/).
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页数：21
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