Quasiparticle band structure calculations which include the most impor
tant cationic core states in the GW approximation of the self-energy o
perator are reported for a prototype II-VI semiconductor. The most sal
ient feature of our results for cubic CdS is the finding that the comp
lete cationic N shell needs to be included in the pseudopotential and
in the self-energy in order to obtain reasonable GW results in agreeme
nt with experiment.