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Article

Эргодическое разложение для мер, квазиинвариантных относительно борелевских действий индуктивно компактных групп

Математический сборник. 2014. Т. 205. № 2. С. 39-70.
А.И. Буфетов

The aim of this paper is to prove ergodic decomposition theorems for probability measures which are quasi-invariant under Borel actions of inductively compact groups as well as for σ-finite invariant measures. For infinite measures the ergodic decomposition is not unique, but the measure class of the decomposing measure on the space of projective measures is uniquely defined by the initial invariant measure.