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Transactions of the Moscow Mathematical Society

ISSN 1547-738X(online) ISSN 0077-1554(print)

 
 

 

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


Author: V. V. Ryzhikov
Translated by: E. Khukhro
Original publication: Trudy Moskovskogo Matematicheskogo Obshchestva.
Journal: Trans. Moscow Math. Soc. 2012, 183-191
MSC (2010): Primary 37A30; Secondary 28D05, 47A35
DOI: https://doi.org/10.1090/S0077-1554-2013-00209-5
Published electronically: March 21, 2013
MathSciNet review: 3184974
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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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Additional Information

V. V. Ryzhikov
Affiliation: Moscow State University
Email: vryzh@mail.ru

DOI: https://doi.org/10.1090/S0077-1554-2013-00209-5
Keywords: Automorphism of a Lebesgue space, tensor product, spectrum, mixing
Published electronically: March 21, 2013
Additional Notes: This research was supported by the grant NSh-5998.2012.1
Article copyright: © Copyright 2013 American Mathematical Society

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