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arXiv · 1702.06201

Surjunctivity and topological rigidity of algebraic dynamical systems

Siddhartha Bhattacharya·Tullio Ceccherini-Silberstein·Michel Coornaert
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Abstract

Let $X$ be a compact metrizable group and $\Gamma$ a countable group acting on $X$ by continuous group automorphisms. We give sufficient conditions under which the dynamical system $(X,\Gamma)$ is surjunctive, i.e., every injective continuous map $\tau \colon X \to X$ commuting with the action of $\Gamma$ is surjective.

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Siddhartha Bhattacharya, Tullio Ceccherini-Silberstein, Michel Coornaert. 2017-02-20. Surjunctivity and topological rigidity of algebraic dynamical systems. https://doi.org/10.1017/etds.2017.41

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