Continuous Orbit Equivalence for Automorphism Systems of Equivalence Relations

被引：0
|
作者：
Qiang, Xiangqi [1 ,2 ]
Hou, Chengjun [2 ]
机构：
[1] Jiangsu Univ Sci & Technol, Sch Math & Phys, Zhenjiang 212003, Peoples R China
[2] Yangzhou Univ, Sch Math Sci, Yangzhou 225002, Peoples R China
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2024年 / 28卷 / 01期
关键词：
continuous orbit equivalence; etale equivalence relation; expansive action; groupoid C*-algebra; TOPOLOGICAL MARKOV SHIFTS; C-ASTERISK-ALGEBRAS;
D O I：
10.11650/tjm/231105
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce notions of continuous orbit equivalence and strong (respective, weak) continuous orbit equivalence for automorphism systems of etale equivalence relations, and characterize them in terms of the semi-direct product groupoids, as well as their reduced groupoid C*-algebras and the associated C*-automorphism systems of group actions or coactions on them. In particular, we study topological rigidity of expansive automorphism actions on compact (connected) metrizable groups.
引用
收藏
页码：95 / 124
页数：30
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