Simple spectrum of the tensor product of powers of a mixing automorphism

Ryzhikov, V.

doi:10.1090/S0077-1554-2013-00209-5

Simple spectrum of the tensor product of powers of a mixing automorphism
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by V. V. Ryzhikov
Translated by: E. Khukhro

Trans. Moscow Math. Soc. 2012, 183-191

DOI: https://doi.org/10.1090/S0077-1554-2013-00209-5

Published electronically: March 21, 2013

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Abstract:

It is proved that there exists a mixing automorphism of a Lebesgue space for which the tensor product of all its positive powers has simple spectrum.

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