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Isomorphism rigidity in entropy rank two

Einsiedler, M.; Ward, T.

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Authors

M. Einsiedler

T. Ward



Abstract

We study the rigidity properties of a class of algebraic Z^3-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 Z^3-actions with all their Z^2-sub-actions isomorphic. The proofs use lexicographic half-space entropies and total ergodicity along critical directions.

Citation

Einsiedler, M., & Ward, T. (2005). Isomorphism rigidity in entropy rank two. Israel Journal of Mathematics, 147(1), 269-284. https://doi.org/10.1007/bf02785368

Journal Article Type Article
Publication Date Jan 1, 2005
Deposit Date Oct 12, 2012
Publicly Available Date Oct 17, 2012
Journal Israel Journal of Mathematics
Print ISSN 0021-2172
Electronic ISSN 1565-8511
Publisher Springer
Peer Reviewed Peer Reviewed
Volume 147
Issue 1
Pages 269-284
DOI https://doi.org/10.1007/bf02785368

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Copyright Statement
The original publication is available at www.springerlink.com





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