Amenable groups, mean topological dimension and subshifts

被引：0

作者：

Krieger, Fabrice

机构：

[1] Univ Strasbourg 1, Inst Rech Math Avancee, F-67084 Strasbourg, France

[2] CNRS, F-67084 Strasbourg, France

来源：

GEOMETRIAE DEDICATA | 2006年 / 122卷 / 01期

关键词：

minimal dynamical system; mean topological dimension; subshift; amenable group; Jaworski Theorem;

D O I：

10.1007/s10711-006-9071-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be an infinite countable residually finite amenable group. In this paper we construct a continuous action of G on a compact metrisable space X such that the dynamical system (X, G) cannot be embedded in the G-shift on [0,1](G). This result generalizes a construction due to E. Lindenstrauss and B. Weiss (Mean topological dimension, Israel J. Math. 115 (2000), 1-24) for G = Z.

引用

页码：15 / 31

页数：17

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