Entropy geometry and disjointness for zero-dimensional algebraic actions

Manfred Einsiedler; Thomas Ward

doi:10.1515/crll.2005.2005.584.195

Entropy geometry and disjointness for zero-dimensional algebraic actions

Manfred Einsiedler, Thomas Ward

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

We show that many algebraic actions of higher-rank abelian groups on zero-dimensional compact abelian 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.

Original language	English
Pages (from-to)	195-214
Number of pages	20
Journal	Journal für die reine und angewandte Mathematik (Crelles Journal)
Volume	2005
Issue number	584
DOIs	https://doi.org/10.1515/crll.2005.2005.584.195
Publication status	Published - 2005

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10.1515/crll.2005.2005.584.195

Cite this

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title = "Entropy geometry and disjointness for zero-dimensional algebraic actions",

abstract = "We show that many algebraic actions of higher-rank abelian groups on zero-dimensional compact abelian 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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language = "English",

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AU - Ward, Thomas

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DO - 10.1515/crll.2005.2005.584.195

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VL - 2005

SP - 195

EP - 214

JO - Journal für die reine und angewandte Mathematik (Crelles Journal)

JF - Journal für die reine und angewandte Mathematik (Crelles Journal)

SN - 0075-4102

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