Abstract
By taking two different skew products of an initial transformation and a two point space, two measure preserving transformations with the same square are constructed. By direct arguments on the doubly infinite partition names of points in these processes, they are shown to beK-automorphisms and non-isomorphic.
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This work is a part of the author’s Ph.D. dissertation written at Stanford University under D. S. Ornstein.
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Rudolph, D.J. Two nonisomorphicK-automorphisms with isomorphic squares. Israel J. Math. 23, 274–287 (1976). https://doi.org/10.1007/BF02761805
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DOI: https://doi.org/10.1007/BF02761805