Faces of simplices of invariant measures for actions of amenable groups

被引：0

作者：

Bartosz Frej

Dawid Huczek

机构：

[1] Wrocław University of Science and Technology,Faculty of Pure and Applied Mathematics

来源：

Monatshefte für Mathematik | 2018年 / 185卷

关键词：

Invariant measure; Periodic measure; Choquet simplex; Amenable group; Group action; Symbolic system; Cantor space; 37A15; 37B05;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We extend the result of Downarowicz (Israel J Math 165:189–210, 2008) to the case of amenable group actions, by showing that every face in the simplex of invariant measures on a zero-dimensional dynamical system with free action of an amenable group G can be modeled as the entire simplex of invariant measures on some other zero-dimensional dynamical system with free action of G. This is a continuation of our investigations from Frej and Huczek (Groups Geom Dyn 11:567–583, 2017), inspired by an earlier paper (Downarowicz in Israel J Math 156:93–110, 2006).

引用

页码：61 / 80

页数：19

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