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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.)

Cohomology computations for Artin groups, Bestvina-Brady groups, and graph products