publiée le 30 avril 2025
Around proper actions on homogeneous spaces (Part 3a/3)
De Maciej Bocheński
Nilpotent endomorphisms of expansive group actions
De Ville Salo
Apparaît dans la 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.
