K-theoretic computation of the Verlinde ring

We compute Verlinde rings of the groups SU(3) semidirect product Z/2Z and Spin(8) semdirect product Sym(3) at level 1. We use the K-theory formulation developed by Freed, Hopkins and Teleman. More precisely, we compute the twisted equivariant K-theory of G acting on itself by conjugation. The fusion product, corresponding to the Pontryagin product on the level of K-theory, is partially computed.