We compute: * the cohomology with group ring coefficients of Artin groups (or actually,of their associated Salvetti complexes), Bestvina-Brady groups, and graphproducts of groups, * the L^2-Betti numbers of Bestvina-Brady groups and of graph products ofgroups, * the weighted L^2-Betti numbers of graph products of Coxeter groups. In the case of arbitrary graph products there is an additional proviso:either all factors are infinite or all are finite.(However, for graph productsof Coxeter groups this proviso is unnecessary.)
展开▼