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Isomorphism rigidity in entropy rank two.

Einsiedler, M. and Ward, T. (2005) 'Isomorphism rigidity in entropy rank two.', Israel journal of mathematics., 147 (1). pp. 269-284.


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.

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Record Created:12 Oct 2012 12:05
Last Modified:17 Oct 2012 10:26

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