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. 2000 Mathematics Subject Classification 20F36 (primary), 57M07 (secondary).
Bulleting of the London Mathematical Society
Jensen, C.; Meier, J. The cohomology of right-angled Artin groups with group ring coefficients. Bull. London Math. Soc. 37 (2005), no. 5, 711–718.