  We give a construction for twisted equivariant K-theory in the case of a
proper action of a discrete group using twisted bundles. Our construction uses
results of Lueck and Oliver to extend a construction of Adem and Ruan. We also
show the existence of a Chern character to twisted Bredon cohomology. This
gives a partial answer to the question of when you can construct twisted
equivariant K-theory out of finite rank twisted bundles.
