  We continue our study of the McKay Correspondence for grading preserving
actions of semisimple Hopf algebras H on (noncommutative) Artin-Schelter
regular algebras A. Here, we establish correspondences between module
categories over A^H, over A\#H, and over \End_{A^H} A. We also study
homological properties of (endomorphism rings of) maximal Cohen-Macaulay
modules over A^H.
