Geodesic
On the Centralizer of an Infinite Mixing Rank-One Transformation
Funkcionalʹnyj analiz i ego priloženiâ, Tome 49 (2015) no. 3, pp. 88-91

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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.
Keywords: mixing, rank-one transformation, sigma-finite measure, minimal self-joinings. 
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     author = {V. V. Ryzhikov and J.-P. Thouvenot},
     title = {On the {Centralizer} of an {Infinite} {Mixing} {Rank-One} {Transformation}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
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V. V. Ryzhikov; J.-P. Thouvenot. On the Centralizer of an Infinite Mixing Rank-One Transformation. Funkcionalʹnyj analiz i ego priloženiâ, Tome 49 (2015) no. 3, pp. 88-91. http://geodesic.mathdoc.fr/item/FAA_2015_49_3_a10/