$K$-Theory of Crepant Resolutions of Complex Orbifolds with SU(2) Singularities

Abstract

We show that if $Q$ is a closed, reduced, complex orbifold of dimension $n$ such that every local group acts as a subgroup of $SU(2)<SU(n)$, then the $K$-theory of the unique crepant resolution of $Q$ is isomorphic to the orbifold $K$-theory of $Q$.

6 pages, minor corrections