On functions that are trivial cocycles
for a set of irrationals. II
Authors:
Lawrence W. Baggett, Herbert A. Medina and Kathy D. Merrill
Journal:
Proc. Amer. Math. Soc. 124 (1996), 89-93
MSC (1991):
Primary 28D05, 11K38
DOI:
https://doi.org/10.1090/S0002-9939-96-02990-5
MathSciNet review:
1285971
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Abstract | References | Similar Articles | Additional Information
Abstract: Two results are obtained about the topological size of the set of irrationals for which a given function is a trivial cocycle. An example of a continuous function which is a coboundary with non- cobounding function is constructed.
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- [BM1] L. Baggett and K. Merrill, Representations of the Mautner group and cocycles of an irrational rotation, Michigan Math. J. 33 (1986), 221--229. MR 87h:22011
- [BM2] ------, Smooth cocycles for an irrational rotation, Israel J. Math. 79 (1992), 281--288. MR 95e:28017
- [H] M. Herman, Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations, Inst. Hautes Études Sci. Publ. Math. 49 (1979), 5--234. MR 81h:58039
- [ILR] A. Iwanik, M. Lemanczyk, and D. Rudolph, Absolutely continuous cocycles over irrational rotations, Israel J. Math. 83 (1993), 73--95. MR 94i:58108
- [M] H. Medina, Spectral types of unitary operators arising from irrational rotations on the circle group, Michigan Math. J. 41 (1994), 39--49. MR 95a:28014
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Additional Information
Lawrence W. Baggett
Email:
baggett@euclid.colorado.edu
Herbert A. Medina
Email:
hmedina@lmumail.lmu.edu
Kathy D. Merrill
Email:
kmerrill@cc.colorado.edu
DOI:
https://doi.org/10.1090/S0002-9939-96-02990-5
Received by editor(s):
November 15, 1993
Received by editor(s) in revised form:
June 21, 1994
Communicated by:
J. Marshall Ash
Article copyright:
© Copyright 1996
American Mathematical Society