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arXiv · 2106.10687

Factoring strongly irreducible group shift actions onto full shifts of lower entropy

Dawid Huczek·Sebastian Kopacz
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Abstract

We show that if $G$ is a a countable amenable group with the comparison property, and $X$ is a strongly irreducible $G$-shift satisfying certain aperiodicity conditions, then $X$ factors onto the full $G$-shift over $N$ symbols, so long as the logarithm of $N$ is less than the topological entropy of $G$.

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Dawid Huczek, Sebastian Kopacz. 2021-06-20. Factoring strongly irreducible group shift actions onto full shifts of lower entropy. https://arxiv.org/abs/2106.10687

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