Topo-isomorphisms of irregular Toeplitz subshifts for residually finite groups
Year: 2025
Type: article
Abstract: For every countable residually finite group G and every totally disconnected metric compactification \overleftarrow{G} of G , we construct an irregular Toeplitz subshift X\subseteq \{0,1\}^{G} whose maximal equicontinuous factor is \overleftarrow{G} and such that X is a topo-isomorphic extension of \overleftarrow{G} . When the acting group G is amenable, our construction yields new examples of mean-equicontinuous dynamical systems.
Source: Groups Geometry and Dynamics
DOI: 10.4171/ggd/864
Author: Jaime Gómez
Institution: Pontificia Universidad Católica de Chile
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4407677572