2024/04/22 by Xiangqi Qiang, Chengjun Hou, Qiang, Xiangqi +1 · 1 citation
Mathematics · #Advanced Differential Equations and Dynamical Systems #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Mathematical Dynamics and Fractals #Operator Algebras (math.OA)
paper · pdf · doi:10.48550/arxiv.2404.14002
openalex publication_date 2024/04/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We characterise the groupoid C^*-algebras associated to the transformation groupoids of injective actions of discrete countable Ore semi-groups on compact topological spaces in terms of the reduced crossed product from the dual actions, and characterise the continuous orbit equivalence for injective actions by means of the transformation groupoids, as well as their reduced groupoid C^*-algebras. Finally, we characterize the injective action of semi-group on its compactifications.