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arXiv · 2101.01458

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

Lei Jin·Kyewon Koh Park·Yixiao Qiao
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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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Lei Jin, Kyewon Koh Park, Yixiao Qiao. 2021-01-05. Mean dimension and a non-embeddable example for amenable group actions. https://arxiv.org/abs/2101.01458

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