V. V. Ryzhikov, J. Thouvenot, “Disjointness, Divisibility, and Quasi-Simplicity of Measure-Preserving Actions”, Funktsional. Anal. i Prilozhen., 2006, Volume 40, Issue 3,Pages <nobr>85

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Brief communications

Disjointness, Divisibility, and Quasi-Simplicity of Measure-Preserving Actions

V. V. Ryzhikov^a, J.-P. Thouvenot^b

^a M. V. Lomonosov Moscow State University
^b Université Pierre & Marie Curie, Paris VI

Abstract: 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.

UDC: 517.9

Received: 17.02.2005

DOI: 10.4213/faa749