  In establishing a more general version of the McKay correspondence, we prove
Auslander's theorem for actions of semisimple Hopf algebras H on noncommutative
Artin-Schelter regular algebras A of global dimension two, where A is a graded
H-module algebra, and the Hopf action on A is inner faithful with trivial
homological determinant. We also show that each fixed ring A^H under such an
action arises an analogue of a coordinate ring of a Kleinian singularity.
