Orbit equivalence of Cantor minimal systems: A survey and a new proof

被引：8
|
作者：
Putnam, Ian F. [1 ]
机构：
[1] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada
来源：
EXPOSITIONES MATHEMATICAE | 2010年 / 28卷 / 02期
基金：
加拿大自然科学与工程研究理事会;
关键词：
ABSORPTION THEOREM; HOMEOMORPHISMS; DIMENSION; ALGEBRAS; SET;
D O I：
10.1016/j.exmath.2009.06.002
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a new proof of the classification, up to topological orbit equivalence, of minimal AF-equivalence relations and minimal actions of the group of integers on the Cantor set. This proof relies heavily on the structure of AF-equivalence relations and the theory of dimension groups; we give a short survey of these topics. (C) 2009 Elsevier GmbH. All rights reserved.
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页码：101 / 131
页数：31
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