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Entropy geometry and disjointness for zero-dimensional algebraic actions.

Einsiedler, M. and Ward, T. (2005) 'Entropy geometry and disjointness for zero-dimensional algebraic actions.', Journal für die reine und angewandte Mathematik. = Crelles journal., 584 . pp. 195-214.

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
Full text:PDF - Published Version (212Kb)
Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1515/crll.2005.2005.584.195
Publisher statement:The final publication is available at www.degruyter.com
Record Created:18 Oct 2012 16:35
Last Modified:18 Mar 2014 16:31

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