Entropy geometry and disjointness for zero-dimensional algebraic actions

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Einsiedler, Manfred and Ward, Thomas (2005) Entropy geometry and disjointness for zero-dimensional algebraic actions. Journal für die reine und angewandte Mathematik (Crelles Journal), 2005 (584). pp. 195-214. ISSN 0075-4102

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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.

Item Type:	Article
Faculty \ School:	Faculty of Science > School of Mathematics
Depositing User:	Vishal Gautam
Date Deposited:	18 Mar 2011 14:48
Last Modified:	01 Mar 2023 11:30
URI:	https://ueaeprints.uea.ac.uk/id/eprint/19716
DOI:	10.1515/crll.2005.2005.584.195

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