Cohomology of Coxeter groups with group ring coefficients: II
  For any Coxeter group W, we define a filtration of H^*(W;ZW) by W-submodules and then compute the associated graded terms. More generally, if U is a CW complex on which W acts as a reflection group we compute the associated graded terms for H_*(U) and, in the case where the action is proper and cocompact, for H^*_c(U). 
Michael W Davis, Jan Dymara, Tadeusz Januszkiewicz, Boris Okun