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A nonsingular action of the full symmetric group admits an equivalent invariant measure
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 16 (2020) no. 1, pp. 46-54 Cet article a éte moissonné depuis la source Math-Net.Ru

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Let $\overline{\mathfrak{S}}_\infty$ denote the set of all bijections of natural numbers. Consider an action of $\overline{\mathfrak{S}}_\infty$ on a measure space $\left( X,\mathfrak{M},\mu \right)$, where $\mu$ is an $\overline{\mathfrak{S}}_\infty$-quasi-invariant measure. We prove that there exists an $\overline{\mathfrak{S}}_\infty$-invariant measure equivalent to $\mu$. 
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     title = {A nonsingular action of the full symmetric group admits an equivalent invariant measure},
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Nikolay Nessonov. A nonsingular action of the full symmetric group admits an equivalent invariant measure. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 16 (2020) no. 1, pp. 46-54. http://geodesic.mathdoc.fr/item/JMAG_2020_16_1_a2/

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