A. Savini

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20242026

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math.DS2026

Superrigidity for representations of transverse measured groupoids

Filippo Sarti, Alessio Savini

For $i = 1, \dots, k$ , let $G_{i}$ be a connected, simply connected, semisimple algebraic group over some local field $I^º_{i}$ of characteristic zero. Let $G_i=\mathbf{G}_i(Îº_i)…

math.DS2025

Measurable bounded cohomology of measured groupoids

Filippo Sarti, Alessio Savini

We introduce the notion of measurable bounded cohomology for measured groupoids, extending continuous bounded cohomology of locally compact groups. We show that the measurable boun…

math.DS2025

Boundaries and equivariant maps for ergodic groupoids

Filippo Sarti, Alessio Savini

We give a notion of boundary pair $(B_{-}, B_{+})$ for measured groupoids which generalizes the one introduced by Bader and Furman \cite{BF14} for locally compact gr…