Functional Analysis and Its Applications

, Volume 49, Issue 3, pp 230–233 | Cite as

On the centralizer of an infinite mixing rank-one transformation

  • V. V. RyzhikovEmail author
  • J.-P. Thouvenot
Brief Communications


A property of minimal self-joinings for mixing rank-one transformations preserving the measure of an infinite Lebesgue space is established. Its main consequence is the triviality of the centralizer of such transformations.


mixing rank-one transformation sigma-finite measure minimal self-joinings 


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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Lomonosov Moscow State UniversityMoscowRussia
  2. 2.Université Pierre et Marie CurieParis VIFrance

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