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Ergodic affine transformations are loosely Bernoulli

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Abstract

We prove that an ergodic affine transformation of a compact abelian group is loosely Bernoulli, that is, it can be induced from a Bernoulli shift.

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References

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Authors and Affiliations

  1. Department of Mathematics, University of Washington, 98195, Seattle, Washington, USA

    D. A. Lind

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  1. D. A. Lind
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Lind, D.A. Ergodic affine transformations are loosely Bernoulli. Israel J. Math. 30, 335–338 (1978). https://doi.org/10.1007/BF02761998

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  • DOI: https://doi.org/10.1007/BF02761998

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