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Ergodic flows of positive entropy can be time changed to becomeK-flows

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Abstract

It is shown that every Kakutani equivalence class of ergodic measure preserving transformations of positive entropy containsK-automorphisms. Also, every ergodic flow of positive entropy can be time changed to become aK-flow and every ergodic automorphism of positive entropy is a cross-section of someK-flow.

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Research supported by the U.S.-Israel BNSF, Grant 13.

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Ornstein, D.S., Smorodinsky, M. Ergodic flows of positive entropy can be time changed to becomeK-flows. Israel J. Math. 26, 75–83 (1977). https://doi.org/10.1007/BF03007657

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  • DOI: https://doi.org/10.1007/BF03007657

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