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A matsumoto-mostrow result for zimmer's cocycles of hyperbolic lattices

Moraschini, M. ; Savini, A.



Abstract

Following the philosophy behind the theory of maximal representations, we introduce the volume of a Zimmer's cocycle Gamma x X -> PO degrees (n, 1), where Gamma is a torsion-free (non-)uniform lattice in PO degrees (n, 1), with n > 3, and X is a suitable standard Borel probability Gamma-space. Our numerical invariant extends the volume of representations for (non-)uniform lattices to measurable ...

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