June 12, 2024Open Access

Minimal amenable subshift with full mean dimension

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Resumen

Let G be an infinite countable amenable group and P a polyhedron with topological dimension dim (P) <. We construct a minimal subshift (X, G) such that its mean topological dimension is equal to dim (P). This result answers the question of D. Dou in DD, moreover, it is also an extension of the work of L. Jin and Y. Qiao JQ for Z-action.

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Cite This Study

Yin et al. (Wed,) studied this question.

synapsesocial.com/papers/68e650bab6db6435875e18cc https://doi.org/https://doi.org/10.48550/arxiv.2406.08280

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5An embedding theorem for subshifts over amenable groups with the comparison property2024 · 3 citations

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