Topo-isomorphisms of irregular Toeplitz subshifts for residually finite groups

  • Jaime Gómez

    Pontificia Universidad Católica de Chile, Santiago, Chile
Topo-isomorphisms of irregular Toeplitz subshifts for residually finite groups cover
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Abstract

For every countable residually finite group  and every totally disconnected metric compactification of , we construct an irregular Toeplitz subshift whose maximal equicontinuous factor is  and such that  is a topo-isomorphic extension of . When the acting group is amenable, our construction yields new examples of mean-equicontinuous dynamical systems.

Cite this article

Jaime Gómez, Topo-isomorphisms of irregular Toeplitz subshifts for residually finite groups. Groups Geom. Dyn. (2025), published online first

DOI 10.4171/GGD/864