Mean dimension and a non-embeddable example for amenable group actions

2021/01/05 by Jin, Lei, Park, Kyewon Koh, Qiao, Yixiao
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2101.01458

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.

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