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math.OA2025
On Diagonal bimodules of étale groupoid -algebras
Rui Liu, Xiangqi Qiang, Chengjun Hou
We study diagonal bimodules of étale groupoid -algebras over their canonical diagonal subalgebras, and establish necessary and sufficient conditions for such a bimodule to be…
math.OA2021
Continuous orbit equivalence of semigroup actions
Xiangqi Qiang, Chengjun Hou
In this paper, we consider semigroup actions of discrete countable semigroups on compact spaces by surjective local homeomorphisms. We introduce notions of continuous one-sided orb…