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.
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Translated from Funktsional’nyi Analiz i Ego Prilozheniya, Vol. 40, No. 3, pp. 85–89, 2006
Original Russian Text Copyright © by V. V. Ryzhikov and J.-P. Thouvenot
The first author’s research was supported by the Program for Supporting Leading Scientific Schools under grant No. NSh-457.2003.1
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Ryzhikov, V.V., Thouvenot, JP. Disjointness, divisibility, and quasi-simplicity of measure-preserving actions. Funct Anal Its Appl 40, 237–240 (2006). https://doi.org/10.1007/s10688-006-0038-8
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DOI: https://doi.org/10.1007/s10688-006-0038-8