  We consider the following question: Is Gorenstein homology a X-pure homology,
in the sense defined by Warfield, for a class X of modules? Let GP denote the
class of Gorenstein projective modules. We prove that over a commutative
Noetherian ring R of finite Krull dimension, Gorenstein homology is a GP-pure
homology if and only if R is virtually Gorenstein.
