The Myhill property for strongly irreducible subshifts over amenable groups |
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| Authors: | Tullio Ceccherini-Silberstein Michel Coornaert |
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| Institution: | 1. Dipartimento di Ingegneria, Universit?? del Sannio, C.so Garibaldi 107, 82100, Benevento, Italy
2. Institut de Recherche Math??matique Avanc??e, UMR 7501, Universit?? de Strasbourg et CNRS, 7 rue Ren??-Descartes, 67000, Strasbourg, France
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| Abstract: | Let G be an amenable group and let A be a finite set. We prove that if X ? A G is a strongly irreducible subshift then X has the Myhill property, that is, every pre-injective cellular automaton ?? : X ?? X is surjective. |
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