Entropy geometry and disjointness for zero-dimensional algebraic actions
Dynamical Systems
2007-05-23 v1 Geometric Topology
Abstract
We show that many algebraic actions of higher-rank abelian groups on zero-dimensional 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.
Cite
@article{arxiv.math/0211447,
title = {Entropy geometry and disjointness for zero-dimensional algebraic actions},
author = {Manfred Einsiedler and Thomas Ward},
journal= {arXiv preprint arXiv:math/0211447},
year = {2007}
}
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