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

  • Izhar Oppenheim

    Ben Gurion University of the Negev, Beer Sheva, Israel

Abstract

We extend Ballmann and Światkowski’s work on cohomology of groups acting on simplicial complexes and provide further vanishing results of cohomologies and of property (T). In particular, we give a new criterion for property (T) for groups acting on an -dimensional simplicial complex.

Cite this article

Izhar Oppenheim, Vanishing of cohomology and property (T) for groups acting on weighted simplicial complexes. Groups Geom. Dyn. 9 (2015), no. 1, pp. 67–101

DOI 10.4171/GGD/306