E-Theory for non-separable C*-algebras

Many common ad hoc definitions of bivariant K-theory for non-separable C*-algebras have some kind of drawback, usually that one cannot expect the long exact sequences to hold in full generality. I will present a way to define E-theory for non-separable C*-algebras without such disadvantages. There is indication that cycles of this new model might arise naturally in index theory on infinite dimensional manifolds.