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arXiv · 2403.01230

Projectional entropy for actions of amenable groups

Michał Prusik
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Abstract

In the current paper we attempt to transfer the notion of the projectional entropy, originally defined for multidimensional subshifts, to the case of actions of amenable groups. The main theorem states that if a system is strongly irreducible the equality of the entropy and the projectional entropy implies that the system has a product-like structure.

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Michał Prusik. 2024-03-02. Projectional entropy for actions of amenable groups. https://arxiv.org/abs/2403.01230

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