Isomorphism rigidity in entropy rank two

Manfred Einsiedler, Thomas Ward

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


We study the rigidity properties of a class of algebraic Z3-actions with entropy rank two. For this class, conditions are found which force an invariant measure to be the Haar measure on an affine subset. This is applied to show isomorphism rigidity for such actions, and to provide examples of non-isomorphic Z3-actions with all their Z2-sub-actions isomorphic. The proofs use lexicographic half-space entropies and total ergodicity along critical directions.
Original languageEnglish
Pages (from-to)269-284
Number of pages16
JournalIsrael Journal of Mathematics
Issue number1
Publication statusPublished - 2005

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