Abstract
An automorphism of then-dimensional torusT n, none of whose eigenvalues is a root of unity includes on the canonical measure space ofT n a measure preserving transformation which is isomorphic to a Bernoulli shift.
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This research was supported in part by the National Science Foundation grant GP-18884 and by the European Research Office of the U.S. Army contract DAJA-37-70-C-0701.
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Katzenlson, Y. Ergodic automorphisms ofT n are Bernoulli shifts. Israel J. Math. 10, 186–195 (1971). https://doi.org/10.1007/BF02771569
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DOI: https://doi.org/10.1007/BF02771569