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Compact subgroups in the centralizer of natural factors of an ergodic group extension of a rotation determine all factors

Published online by Cambridge University Press:  19 September 2008

Mariusz Lemańczyk  and
Mieczyslaw K. Mentzen
Mariusz Lemańczyk
Affiliation:
Institute of Mathematics, Nicholas Copernicus University, ul. Chopina 12/18, 87–100 Toruń, Poland
Mieczyslaw K. Mentzen
Affiliation:
Institute of Mathematics, Nicholas Copernicus University, ul. Chopina 12/18, 87–100 Toruń, Poland
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Abstract

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For ergodic group extensions of transformations with discrete spectra it is proved that each invariant sub-σ-algebra is determined by a compact subgroup in the centralizer of a natural factor.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 10 , Issue 4 , December 1990 , pp. 763 - 776
Copyright
Copyright © Cambridge University Press 1990

References

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