Data:	Mercoledì 18 Febbraio 2004, Ore 16.30
Luogo:	Aula 1201, Dip. Matematica, U. Roma "Tor Vergata"
Speaker:	Dott. Ezio Vasselli, Roma
Titolo:	THE PIMSNER ALGEBRA OF A VECTOR BUNDLE, FIELDS OF CUNTZ ALGEBRAS AND KK-THEORY
Abstract:	We study the Pimsner algebra associated with the module of continuous sections of a Hilbert bundle, and prove that it is a continuous bundle of Cuntz algebras. In the particular case of a vector bundle, we discuss the role of such Pimsner algebra w.r.t. the notion of inner endomorphism. Furthermore, we study bundles of Cuntz algebras carrying a global circle action, and assign them an invariant in the representable KK-group of the zero-grade bundle. Such invariant is proposed for a classification unless graded stable isomorphism, and is explicitly computed for the Pimsner algebra of a vector bundle.