The module structure of the equivariant K-theory of the based loop group of SU(2)

Megumi Harada, Lisa C. Jeffrey, Paul Selick

Let $G=SU(2)$ and let $\Omega G$ denote the space of based loops in SU(2). We explicitly compute the $R(G)$-module structure of the topological equivariant $K$-theory $K_G^{\ast }(\Omega G)$ and in…