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Infinite measure preserving transformations with Radon MSJ

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Abstract

We introduce concepts of Radon MSJ and Radon disjointness for infinite Radon measure preserving homeomorphisms of the locally compact Cantor space. We construct an uncountable family of pairwise Radon disjoint infinite Chacon like transformations. Every such transformation is Radon strictly ergodic, totally ergodic, asymmetric (not isomorphic to its inverse), has Radon MSJ and possesses Radon joinings whose ergodic components are not joinings.

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Authors and Affiliations

  1. Institute for Low Temperature Physics & Engineering of National Academy of Sciences of Ukraine, 47 Nauky Ave., Kharkov, 61164, Ukraine

    Alexandre I. Danilenko

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  1. Alexandre I. Danilenko
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Correspondence to Alexandre I. Danilenko.

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Danilenko, A.I. Infinite measure preserving transformations with Radon MSJ. Isr. J. Math. 228, 21–51 (2018). https://doi.org/10.1007/s11856-018-1746-5

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  • DOI: https://doi.org/10.1007/s11856-018-1746-5

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