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arXiv · 2106.05085

Continuous orbit equivalence for automorphismhi systems of equivalence relations

XiangQi Qiang·ChengJun Hou
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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 $C^*$-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

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XiangQi Qiang, ChengJun Hou. 2021-06-09. Continuous orbit equivalence for automorphismhi systems of equivalence relations. https://arxiv.org/abs/2106.05085

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