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Entropy geometry and disjointness for zero-dimensional algebraic actions

Manfred Einsiedler·Thomas Ward
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Abstract

We show that many algebraic actions of higher-rank abelian groups on zero-dimensional groups are mutually disjoint. The proofs exploit differences in the entropy geometry arising from subdynamics and a form of Abramov--Rokhlin formula for half-space entropies.

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Manfred Einsiedler, Thomas Ward. 2002-11-28. Entropy geometry and disjointness for zero-dimensional algebraic actions. https://doi.org/10.1515/crll.2005.2005.584.195

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