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arXiv · 1004.2422

The Myhill property for strongly irreducible subshifts over amenable groups

Tullio Ceccherini-Silberstein·Michel Coornaert
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Abstract

Let $G$ be an amenable group and let $A$ be a finite set. We prove that if $X \subset A^G$ is a strongly irreducible subshift then $X$ has the Myhill property, that is, every pre-injective cellular automaton $τ\colon X \to X$ is surjective.

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Tullio Ceccherini-Silberstein, Michel Coornaert. 2010-09-22. The Myhill property for strongly irreducible subshifts over amenable groups. https://arxiv.org/abs/1004.2422

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