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Ergodic decomposition of quasi-invariant probability measures

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Greschonig G., Schmidt K.

Colloquium Mathematicum

2000

tom 84/85

nr 2

495-514

The purpose of this note is to prove various versions of the ergodic decomposition theorem for probability measures on standard Borel spaces which are quasi-invariant under a Borel action of a locally compact second countable group or a discrete nonsingular equivalence relation. In the process we obtain a simultaneous ergodic decomposition of all quasi-invariant probability measures with a prescribed Radon-Nikodym derivative, analogous to classical results about decomposition of invariant probability measures.

Ograniczanie wyników

1 Colloquium Mathematicum

1 Greschonig G.

1 Schmidt K.

1 2000

Wyniki wyszukiwania

Ergodic decomposition of quasi-invariant probability measures