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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.


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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Record Created:18 Oct 2012 16:35
Last Modified:18 Mar 2014 16:31

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