Ergodic group extensions of a dynamical system with discrete spectrum are considered. The elements of the centralizer of such a system are described. The main result says that each invariant sub-σ-algebra is determined by a compact subgroup in the centralizer of a normal natural factor.
@article{bwmeta1.element.bwnjournal-article-smv101i1p19bwm,
author = {Mieczys\l aw Mentzen},
title = {Ergodic properties of group extensions of dynamical systems with discrete spectra},
journal = {Studia Mathematica},
volume = {100},
year = {1991},
pages = {19-31},
zbl = {0809.28015},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv101i1p19bwm}
}
Mentzen, Mieczysław. Ergodic properties of group extensions of dynamical systems with discrete spectra. Studia Mathematica, Tome 100 (1991) pp. 19-31. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv101i1p19bwm/
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