The cohomology of a right-angled Artin group with group ring coefficients is explicitly presented in terms of the cohomology of its defining flag complex.
Title
The cohomology of right-angled Artin groups with group ring coefficients
Jensen, C. and J. Meier (2005 Oct) "The cohomology of right-angled Artin groups with group ring coefficients." Bulletin of the London Mathematical Society 37: 711-718.