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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On the disjointness problem
for Gaussian automorphisms


Authors: M. Lemanczyk and F. Parreau
Journal: Proc. Amer. Math. Soc. 127 (1999), 2073-2081
MSC (1991): Primary 28D05, 43A05
Published electronically: February 26, 1999
MathSciNet review: 1486742
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Abstract | References | Similar Articles | Additional Information

Abstract: If $T_{\sigma _1}$, $T_{\sigma _2}$ are two Gaussian automorphisms, where $\sigma _1$ and $\sigma _2$ are concentrated on independent sets, then we have a dichotomy: either they are spectrally disjoint or they have a common factor. As an application, we construct non-rigid automorphisms which are spectrally determined.


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Additional Information

M. Lemanczyk
Affiliation: Department of Mathematics and Computer Science, Nicholas Copernicus University, ul. Chopina 12/18, 87-100 Toruń, Poland
Email: mlem@mat.uni.torun.pl

F. Parreau
Affiliation: Laboratoire d’Analyse, Géométrie et Applications, URA CNRS 742, Université Paris 13, Av. J.-B. Clément, 93430 Villetaneuse, France
Email: parreau@math.univ-paris13.fr

DOI: http://dx.doi.org/10.1090/S0002-9939-99-04807-8
PII: S 0002-9939(99)04807-8
Received by editor(s): April 23, 1997
Received by editor(s) in revised form: October 9, 1997
Published electronically: February 26, 1999
Additional Notes: The first author’s research was partially supported by KBN grant 2 P301 031 07 (1994).
Communicated by: Mary Rees
Article copyright: © Copyright 1999 American Mathematical Society