Isometric extensions, 2-cocycles and ergodicity of skew products
Studia Mathematica, Tome 137 (1999) no. 2, pp. 123-142
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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 $T_α$ and admits a prescribed subgroup in the centralizer of $T_α$.
Keywords:
ergodic transformation, cocycle, isometric extension
Affiliations des auteurs :
Alexandre I. Danilenko 1 ; 1
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author = {Alexandre I. Danilenko and },
title = {Isometric extensions, 2-cocycles and ergodicity of skew products},
journal = {Studia Mathematica},
pages = {123--142},
publisher = {mathdoc},
volume = {137},
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year = {1999},
doi = {10.4064/sm-137-2-123-142},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-137-2-123-142/}
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Alexandre I. Danilenko; . Isometric extensions, 2-cocycles and ergodicity of skew products. Studia Mathematica, Tome 137 (1999) no. 2, pp. 123-142. doi: 10.4064/sm-137-2-123-142
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