Topological rigidity of linear cellular automaton shifts

Fokkink, Robbert and Yassawi, Reem (2018). Topological rigidity of linear cellular automaton shifts. Indagationes Mathematicae, 29(4) pp. 1105–1113.

DOI: https://doi.org/10.1016/j.indag.2018.05.011

Abstract

We prove that topologically isomorphic linear cellular automaton shifts are algebraically isomorphic. Using this, we show that two distinct such shifts cannot be isomorphic. We conclude that the automorphism group of a linear cellular automaton shift is a finitely generated abelian group.

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