CANCELED TALK
The groups of KK-theory were introduced by Kasparov in the 1980’s and have important applications to many geometric and topological problems which are tackled by C*-algebraic techniques. Kasparov groups provide for instance a framework to understand and conceptualise the proofs of index theorems.
We investigate KK-theory groups with coefficients in the $\mathbb{R}$. By construction, they provide natural receptacles for classes coming from traces on $C^*$ algebras. We shall see their applications to R/Z-secondary classes of flat bundles and to assembly maps. Based on joint works with Paolo Antonini and Georges Skandalis.
