Automorphism groups of simplicial complexes and rigidity for uniformly bounded representations

Abstract

We consider L^p-cohomology of reflexive Banach spaces and give a spectral condition implying the vanishing of 1-cohomology with coefficients in uniformly bounded representations on a Hilbert space.

Final version, to appear in Geom. Dedicata

References in corpus (1)

• Vanishing of cohomology and property (T) for groups acting on weighted simplicial complexes

Cited by in corpus (3)

• Isomorphisms between spaces of Lipschitz functions
• Group Actions on Banach Spaces
• Garland's method with Banach coefficients