Ergodic automorphisms of the infinite torus are bernoulli
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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.
KeywordsDual Group Finite Rank Free Abelian Group Algebraic Integer Torsion Group
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