F. Sarti

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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 $κ_{i}$ of characteristic zero. Let $G_{i} = G_{i} (κ_{i})$ …

math.DS2025

Bounded cohomological induction for transverse measured groupoids

Tobias Hartnick, Filippo Sarti

We establish an induction isomorphism in the context of measurable bounded cohomology of discrete measured groupoid, which generalizes the Eckmann-Shapiro isomorphism in bounded co…

math.DS2024

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…