McKay correspondence for semisimple Hopf actions on regular graded algebras. II

Abstract

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 $A^H$.