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Isometric extensions, 2-cocycles and ergodicity of skew products

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Danilenko A. I., Lemańczyk M.

Studia Mathematica

1999

tom 137

nr 2

123-142

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 $T_α$.

Ograniczanie wyników

1 Studia Mathematica

1 Danilenko A. I.

1 Lemańczyk M.

1 1999

Wyniki wyszukiwania

Isometric extensions, 2-cocycles and ergodicity of skew products