Measurable rigidity and disjointness for ℤk actions by toral automorphisms

Boris Kalinin, Anatole Katok

Research output: Contribution to journalArticle

10 Scopus citations

Abstract

We investigate joinings of strongly irreducible totally non-symplectic Anosov ℤk, k ≥ 2 actions by toral automorphisms. We show that the existence of a non-trivial joining has strong implications for these actions, in particular, that the restrictions of the actions to a finite index subgroup of ℤk are conjugate over Q. We also obtain a description of the joining measures modulo the classification of zero entropy measures for the actions.

Original languageEnglish (US)
Pages (from-to)507-523
Number of pages17
JournalErgodic Theory and Dynamical Systems
Volume22
Issue number2
DOIs
StatePublished - Aug 27 2002

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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