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arXiv · 1612.05893

A note on the surjunctivity of algebraic dynamical systems

Tullio Ceccherini-Silberstein·Michel Coornaert
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Abstract

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

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Tullio Ceccherini-Silberstein, Michel Coornaert. 2016-12-18. A note on the surjunctivity of algebraic dynamical systems. https://arxiv.org/abs/1612.05893

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