On the disjointness problem for Gaussian automorphisms

Lemańczyk, M.; Parreau, F.

doi:10.1090/S0002-9939-99-04807-8

On the disjointness problem for Gaussian automorphisms
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by M. Lemańczyk and F. Parreau

Proc. Amer. Math. Soc. 127 (1999), 2073-2081

DOI: https://doi.org/10.1090/S0002-9939-99-04807-8

Published electronically: February 26, 1999

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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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