Entropy geometry and disjointness for zero-dimensional algebraic actions
(2005)
Journal Article
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
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... Read More about Entropy geometry and disjointness for zero-dimensional algebraic actions.