Entropy geometry and disjointness for zero-dimensional algebraic actions

Einsiedler, M.; Ward, T.

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.

Citation

Einsiedler, M., & Ward, T. (2005). Entropy geometry and disjointness for zero-dimensional algebraic actions. Journal für die reine und angewandte Mathematik, 584, 195-214. https://doi.org/10.1515/crll.2005.2005.584.195

• Journal Article Type: Article
• Publication Date: Jul 1, 2005
• Deposit Date: Oct 12, 2012
• Publicly Available Date: Mar 18, 2014
• Journal: Journal für die reine und angewandte Mathematik
• Print ISSN: 0075-4102
• Electronic ISSN: 1435-5345
• Publisher: De Gruyter
• Peer Reviewed: Peer Reviewed
• Volume: 584
• Pages: 195-214
• DOI: https://doi.org/10.1515/crll.2005.2005.584.195
• Public URL: https://durham-repository.worktribe.com/output/1472257