zbMATH — the first resource for mathematics

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

28D05 Measure-preserving transformations
Full Text: DOI
[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.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.