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Excess intersection in equivariant bivariant $$K$$-theory. (English. Abridged French version) Zbl 0762.19008
This note extends the authors’ previous one [ibid. 311, No. 2, 115-120 (1990; Zbl 0719.19003)] where they defined a bifunctor on stratified $$G$$- spaces, using the notion of a correspondence. There they established an isomorphism with Kasparov’s KK-functor as well as an intersection formula for fiber squares with transversal intersection. Here this intersection formula is extended to clean intersections and now involves the spinors over the excess normal bundle which comes in by non-transversality.

##### MSC:
 19K35 Kasparov theory ($$KK$$-theory)