Geodesic
Disjointness, Divisibility, and Quasi-Simplicity of Measure-Preserving Actions
Funkcionalʹnyj analiz i ego priloženiâ, Tome 40 (2006) no. 3, pp. 85-89

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For weakly mixing flows, quasi-simplicity of order $2$ implies quasi-simplicity of all orders. A uniformly divisible automorphism and a $2$-quasi-simple automorphism are disjoint.
Keywords: weakly mixing flow, divisible ergodic system, quasi-simplicity, disjointness, pairwise independent joinings. 
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V. V. Ryzhikov; J. Thouvenot. Disjointness, Divisibility, and Quasi-Simplicity of Measure-Preserving Actions. Funkcionalʹnyj analiz i ego priloženiâ, Tome 40 (2006) no. 3, pp. 85-89. http://geodesic.mathdoc.fr/item/FAA_2006_40_3_a11/