Expansiveness of algebraic actions on connected groups

2000/03/29 by Siddhartha Bhattacharya, Bhattacharya, Siddhartha · 1 citation
Mathematics · #37C85 #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #advanced mathematical theories #math.DS #msc:37C85

paper · pdf · doi:10.48550/arxiv.math/0003207

21 pages, no figures

arxiv created 2000/03/29 · openalex publication_date 2000/03/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider endomorphism actions of arbitrary discrete semigroups on a connected metrizable topological group G. We give necessary and sufficient conditions for expansiveness of such actions when G is a Lie group or a compact finite-dimensional group.

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• Shadowing and Hyperbolicity for Endomorphisms of Locally Compact Groups

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