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On the disjointness problem for Gaussian automorphisms
Author(s):
M.
Lemanczyk;
F.
Parreau
Journal:
Proc. Amer. Math. Soc.
127
(1999),
2073-2081.
MSC (1991):
Primary 28D05, 43A05
Posted:
February 26, 1999
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Abstract:
If  ,  are two Gaussian automorphisms, where  and  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 Torun, 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:
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
Posted:
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
Copyright of article:
Copyright
1999,
American Mathematical Society
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