(1) Laboratoire Emile Picard, 118, route de Narbonne, F-31062 Toulouse-Cedex 04, France
Abstract:
Let
be a locally compact topological groupoid, A and B two C*-algebras endowed with a continuous action of
. We define an operator K-theory group K K
(A,B). We describe two basic properties of this theory: the existence of a Kasparov product and functoriality with respect to groupoid cocycles.