Rigidity of the measurable structure for algebraic actions of higher-rank Abelian groups

Boris Kalinin, Ralf Spatzier

Research output: Contribution to journalArticle

12 Scopus citations

Abstract

We investigate rigidity of measurable structure for higher-rank Abelian algebraic actions. In particular, we show that ergodic measures for these actions fiber over a zero entropy measure with Haar measures along the leaves. We deduce various rigidity theorems for isomorphisms and joinings as corollaries.

Original languageEnglish (US)
Pages (from-to)175-200
Number of pages26
JournalErgodic Theory and Dynamical Systems
Volume25
Issue number1
DOIs
StatePublished - Feb 1 2005

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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