Isometric extensions, 2-cocycles and ergodicity of skew products
Danilenko, Alexandre ; Lemańczyk, Mariusz
Studia Mathematica, Tome 133 (1999), p. 123-142 / Harvested from The Polish Digital Mathematics Library
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We establish existence and uniqueness of a canonical form for isometric extensions of an ergodic non-singular transformation T. This is applied to describe the structure of commutors of the isometric extensions. Moreover, for a compact group G, we construct a G-valued T-cocycle α which generates the ergodic skew product extension Tα and admits a prescribed subgroup in the centralizer of Tα.

Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:216679 
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     volume = {133},
     year = {1999},
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     zbl = {0964.37008},
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Danilenko, Alexandre; Lemańczyk, Mariusz. Isometric extensions, 2-cocycles and ergodicity of skew products. Studia Mathematica, Tome 133 (1999) pp. 123-142. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv137i2p123bwm/

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