南通大学学报（自然科学版）2024，Vol.23Issue(3)：89-94,6.DOI:10.12194/j.ntu.20230926001
自同构系统的拓扑刚性
Topological rigidity of automorphism systems
摘要
Abstract
This paper studies the automorphism actions of countable discrete groups on the étale equivalence relations on compact metric spaces.First,the notion of continuous strong orbit equivalence for automorphism systems is intro-duced and it is proved that two conjugate automorphism systems are continuously strong orbit equivalent.Conversely,under the conditions of essentially freeness and discrete groups being amenable and torsion-free,two continuously strong orbit equivalent automorphism systems satisfying the rigid condition are conjugate.关键词
自同构系统/广群/连续强轨道等价/共轭Key words
automorphism system/groupoid/continuous strong orbit equivalence/conjugacy分类
数理科学引用本文复制引用
羌湘琦..自同构系统的拓扑刚性[J].南通大学学报（自然科学版）,2024,23(3):89-94,6.基金项目
国家自然科学基金青年科学基金项目(12401156) （12401156）
