Verlinde K-theory.

Abstract

This thesis concerns computations of twisted equivariant K-theory functors evaluated on certain spaces. In the second chapter, for simple, ompact, simply-connected Lie groups G, I determine K^{tau+h}_(LBG) ^X= R^{tau}(LG)^_I as an abelian group, where R^{tau}(LG) is the representation ring of projective, positive energy representations of LG, and (