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. 67–101DOI 10.4171/GGD/306