Entropy geometry and disjointness for zero-dimensional algebraic actions

Details Entropy geometry and disjointness for zero-dimensional algebraic actions Entropy geometry and disjointness for zero-dimensional algebraic actions

2002-11-28

arxiv.org/abs/math/0211447v1

Journal fur die reine und angewandte Mathematik, 584, 195-214, 2005

Mathematics

Dynamical Systems

21 page latex

Scientific paper

10.1515/crll.2005.2005.584.195

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.

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