Factors of ergodic group extensions of rotations

Kwiatkowski, Jan

Studia Mathematica, Tome 103 (1992), p. 123-131 / Harvested from The Polish Digital Mathematics Library

Résumé

Diagonal metric subgroups of the metric centralizer $C (T_{φ})$ of group extensions are investigated. Any diagonal compact subgroup Z of $C (T_{φ})$ is determined by a compact subgroup Y of a given metric compact abelian group X, by a family $v_{y} : y \in Y$ , of group automorphisms and by a measurable function f:X → G (G a metric compact abelian group). The group Z consists of the triples $(y, F_{y}, v_{y})$ , y ∈ Y, where $F_{y} (x) = v_{y} (f (x)) - f (x + y)$ , x ∈ X.

Publié le : 1992-01-01

Zbl 0809.28014

EUDML-ID : urn:eudml:doc:215940

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     author = {Jan Kwiatkowski},
     title = {Factors of ergodic group extensions of rotations},
     journal = {Studia Mathematica},
     volume = {103},
     year = {1992},
     pages = {123-131},
     zbl = {0809.28014},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv103i2p123bwm}
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Kwiatkowski, Jan. Factors of ergodic group extensions of rotations. Studia Mathematica, Tome 103 (1992) pp. 123-131. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv103i2p123bwm/

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