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Nilpotent endomorphisms of expansive group actions

By Ville Salo

Appears in collection : Algebraic and Combinatorial Invariants of Subshifts and Tilings / Invariants combinatoires et algébriques des décalages et des pavages

We say a pointed dynamical system is asymptotically nilpotent if every point tends to zero. We study group actions whose endomorphism actions are nilrigid, meaning that for all asymptotically nilpotent endomorphisms the convergence to zero is uniform. We show that this happens for a large class of expansive group actions on a large class of groups. The main examples are cellular automata on subshifts of finite type.

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Citation data

  • DOI 10.24350/CIRM.V.19697703
  • Cite this video Salo, Ville (12/01/2021). Nilpotent endomorphisms of expansive group actions. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19697703
  • URL https://dx.doi.org/10.24350/CIRM.V.19697703

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