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Ergodic automorphisms of the infinite torus are bernoulli

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Abstract

We show that ergodic algebraic automorphisms of the infinite torus are measure isomorphic to Bernoulli shifts. Using the same techniques, we also show that the existence of such an automorphism with finite entropy is equivalent to an open problem in algebraic number theory.

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Authors and Affiliations

  1. Department of Mathematics, University of California, Berkeley, California, U. S. A.

    D. A. Lind

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  1. D. A. Lind
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Lind, D.A. Ergodic automorphisms of the infinite torus are bernoulli. Israel J. Math. 17, 162–168 (1974). https://doi.org/10.1007/BF02882235

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  • DOI: https://doi.org/10.1007/BF02882235

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