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Similarity and superrigidity for transverse measured groupoids
Let $G$ be a locally compact, second countable, unimodular group and let $(X,μ,Y)$ be an ergodic integrable transverse $G$-system. We show that $G \ltimes X$ endowed with the product measure and the restriction $(G \ltimes X)|_Y$ endowed with the transverse measure are similar ergodic groupoids. As
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