Mean dimension and a non-embeddable example for amenable group actions
Volume 257 / 2022
Fundamenta Mathematicae 257 (2022), 19-38
MSC: 37B05, 54F45.
DOI: 10.4064/fm921-1-2021
Published online: 29 November 2021
Abstract
For every infinite (countable discrete) amenable group $G$ and every positive integer $d$ we construct a minimal $G$-action of mean dimension $d/2$ which cannot be embedded in the full $G$-shift on $([0,1]^d)^G$.
