Entropy geometry and disjointness for zero-dimensional algebraic actions

Manfred Einsiedler, Thomas Ward

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)195-214
Number of pages20
JournalJournal für die reine und angewandte Mathematik (Crelles Journal)
Volume2005
Issue number584
DOIs
Publication statusPublished - 2005

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