The Myhill property for strongly irreducible subshifts over amenable groups

Details The Myhill property for strongly irreducible subshifts over amenable groups The Myhill property for strongly irreducible subshifts over amenable groups

2010-04-14

arxiv.org/abs/1004.2422v2

Monatsh. Math. 165 (2012), 155-172

Mathematics

Dynamical Systems

Scientific paper

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 $\tau \colon X \to X$
is surjective.

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