The McKay correspondence is a surprising connection between the representation theory of a finite subgoup G of SL(2) and the resolution of the quotient singularity C^2/G. A generalization for G in SL(n) is to consider crepant resolutions of C^n/G determined by the representation theory of G. When G is a finite subgroup of SL(3) the moduli space M_theta of representations of the McKay quiver is a crepant resolution of the quotient singularity C^n/G. I will describe joint work with Alastair Craw and Rekha Thomas giving an explicit description of the component of M_theta that is birational to C^n/G for abelian G in GL(n,\mathbb C) for arbitrary n as a (not necessarily normal) toric variety. A special case of the moduli of McKay quiver representations is Nakamura's G-Hilbert scheme, and our explicit description allows us to construct pathological examples of these schemes.