Continuous orbit equivalence for automorphismhi systems of equivalence relations
Operator Algebras
2023-03-27 v4
Abstract
We introduce notions of continuous orbit equivalence and strong (respective, weak) continuous orbit equivalence for automorphism systems of \'{e}tale equivalence relations, and characterize them in terms of the semi-direct product groupoids, as well as their reduced groupoid -algebras and the associated -automorphism systems of group actions or coactions on them. In particular, we study topological rigidity of expansive automorphism actions on compact (connected) metrizable groups
Keywords
Cite
@article{arxiv.2106.05085,
title = {Continuous orbit equivalence for automorphismhi systems of equivalence relations},
author = {XiangQi Qiang and ChengJun Hou},
journal= {arXiv preprint arXiv:2106.05085},
year = {2023}
}