An example of a measure preserving map with minimal self-joinings, and applications.(English)Zbl 0446.28018

MSC:

 28D05 Measure-preserving transformations
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References:

 [1] A. del Junko,A simple measure-preserving transformation with trivial centralizer, preprint. [2] H. Furstenberg,Dispointness in ergodic theory, minimal sets and a problem in diophantine approximation, Math. System Theory1 (1967), 1–49. · Zbl 0146.28502 [3] D. S. Ornstein, On the root problem in ergodic theory, Proc. Sixth Berkeley Symp. Math. Stat. Prob., Vol. II, University of California Press, 1967, pp. 347–356. [4] S. Polit,Weakly Isomorphic Maps Need Not Be Isomorphic, Ph.D. dissertation, Stanford, 1974. [5] D. J. Rudolph, Nonequivalence of Measure Preserving Transformations, Lecture Notes, Institute for Advanced Studies, Hebrew University of Jerusalem, 1975. [6] D. J. Rudolph,Two nonisomorphic K-automorphisms all of whose powers beyond one are isomorphic, Israel J. Math.27 (1977), 277–298. · Zbl 0358.28008
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