%0 Journal Article
%T Vanishing of cohomology and property (T) for groups acting on weighted simplicial complexes
%A Izhar Oppenheim
%J Mathematics
%D 2011
%I arXiv
%X We extend Ballmann and Swiatkowski's work on $L^2$-cohomology of groups acting on simplicial complexes and provide further vanishing results of $L^2$-cohomologies. In particular, we give a new criterion for property (T) for groups acting on an n-dimensional simplcial complex.
%U http://arxiv.org/abs/1110.5724v5