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Théorie de Kasparov équivariante et groupo?des I
Authors:Pierre-yves Le Gall
Institution:(1) Laboratoire Emile Picard, 118, route de Narbonne, F-31062 Toulouse-Cedex 04, France
Abstract:Let 
$$\mathcal{G}$$
be a locally compact topological groupoid, A and B two C*-algebras endowed with a continuous action of 
$$\mathcal{G}$$
. We define an operator K-theory group K K 
$$\mathcal{G}$$
(A,B). We describe two basic properties of this theory: the existence of a ldquoKasparov productrdquo and functoriality with respect to groupoid cocycles.
Keywords:Mathematics Subject Classifications (1991): 19K35 (Kasparov Theory)  2A22 (topological groupoids)  20L13 (mappings of groupoids)    equivariant Kasparov theory  topological groupoids  equivalence of groupoids  
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