Topological rigidity of linear cellular automaton shifts |
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| Authors: | Robbert Fokkink Reem Yassawi |
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| Affiliation: | TU Delft, Netherlands;Institut Camille Jordan, Université Lyon-1, France |
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| 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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| Keywords: | Algebraic dynamics Automorphism groups |
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