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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About

• Item ORO ID
• 67274
• Item Type
• Journal Item
• ISSN
• 0019-3577
• Project Funding Details

• Funded Project Name	Project ID	Funding Body
  European Union’s Horizon 2020 research and innovation programme,	Grant Agreement No 648132	ERC

• Keywords
• Algebraic dynamics; Endomorphisms and automorphisms of compact abelian ℤd actions; Automorphism groups
• Academic Unit or School
• Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
  Faculty of Science, Technology, Engineering and Mathematics (STEM)
• Copyright Holders
• © 2018 Royal Dutch Mathematical Society (KWG)
• Related URLs
• • https://arxiv.org/abs/1801.02835(Other)
• Depositing User
• Reem Yassawi