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Spectral rigidity of group actions: Applications to the case gr
Author(s):
Oleg
N.
Ageev
Journal:
Proc. Amer. Math. Soc.
134
(2006),
1331-1338.
MSC (2000):
Primary 37A05, 37A15, 37A25, 37A30, 37A35, 28D05, 28D15;
Secondary 47A05, 47A35, 47D03
Posted:
October 6, 2005
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Additional information
Abstract:
We apply a technique to study the notion of spectral rigidity of group actions to a group gr . As an application, we prove that there exist rank one weakly mixing transformations conjugate to its square, thereby giving a positive answer to a well-known question.
References:
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37A05, 37A15, 37A25, 37A30, 37A35, 28D05, 28D15,
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Additional Information:
Oleg
N.
Ageev
Affiliation:
Department of Mathematics, Moscow State Technical University, 2nd Baumanscaya St. 5, 105005 Moscow, Russia
Address at time of publication:
Max Planck Institute of Mathematics, P.O. Box 7280, D-53072 Bonn, Germany
Email:
ageev@mx.bmstu.ru, ageev@mpim-bonn.mpg.de
DOI:
10.1090/S0002-9939-05-08380-2
PII:
S 0002-9939(05)08380-2
Keywords:
Group actions,
ergodic theory,
conjugations to its squares
Received by editor(s):
November 20, 2004
Posted:
October 6, 2005
Additional Notes:
The author was supported in part by the Max Planck Institute of Mathematics, Bonn, and the Programme of Support of Leading Scientific Schools of the RF (grant no. NSh-457.2003.1)
Communicated by:
Michael Handel
Copyright of article:
Copyright
2005,
American Mathematical Society
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