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The second centralizer of a Bernoulli shift is just its powers. (English) Zbl 0375.28006

MSC:
28D05 Measure-preserving transformations
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[1] D. S. Ornstein,A mixing transformation for which Pinsker’s conjecture fails, Advances in Math.10 (1973), 103–123. · Zbl 0248.28011 · doi:10.1016/0001-8708(73)90100-X
[2] D. S. Ornstein,The isomorphism theorem for Bernoulli flows, Advances in Math.10 (1973), 124–142. · Zbl 0265.28011 · doi:10.1016/0001-8708(73)90101-1
[3] D. S. Ornstein,Factors of Bernoulli shifts, Israel J. Math.21 (1974), 145–153. · Zbl 0326.28029 · doi:10.1007/BF02760792
[4] S. H. Polit,Weakly isomorphic transformations need not be isomorphic, Ph.D. dissertation, Stanford University, 1975.
[5] B. Weiss,Equivalence of Measure Preserving Transformations, §8, Lecture Notes, The Institute for Advanced Studies, The Hebrew University of Jerusalem, 1976.
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