Extensions of full shifts with group actions
Volume 160 / 2020
Colloquium Mathematicum 160 (2020), 65-70
MSC: Primary 37B10; Secondary 37B40.
DOI: 10.4064/cm7843-3-2019
Published online: 13 December 2019
Abstract
We give a sufficient condition for a symbolic topological dynamical system with an action of a countable amenable group to be an extension of the full shift, a problem analogous to those studied by Ashley, Marcus, Johnson and others for actions of $\mathbb {Z}$ and $\mathbb {Z}^d$.