Minimal models for actions of amenable groups

被引：4

作者：

Frej, Bartosz ^{[1
]}

Huczek, Dawid ^{[1
]}

机构：

[1] Wroclaw Univ Sci & Technol, Fac Pure & Appl Math, Wybrzeze Wyspianskiego 27, PL-50370 Wroclaw, Poland

来源：

GROUPS GEOMETRY AND DYNAMICS | 2017年 / 11卷 / 02期

关键词：

Topologicalmodel; dynamical system; group action; amenable group; invariant measure; Choquet simplex; Borel isomorphism;

D O I：

10.4171/GGD/408

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that on a metrizable, compact, zero-dimensional space every free action of an amenable group is measurably isomorphic to a minimal G-action with the same, i.e. affinely homeomorphic, simplex of measures.

引用

页码：567 / 583

页数：17

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