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.
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页码：15 / 31
页数：17
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