The Bernstein-Gelfand-Gelfand complex and Kasparov theory for SL(3,C)

Robert Yuncken

Let $G=\mathrm{SL}(3,\mathbb{C})$. We construct an element of $G$-equivariant $K$-homology from the Bernstein-Gelfand-Gelfand complex for $G$. This furnishes an explicit splitting…