The C*-algebra of a vector bundle and fields of Cuntz algebras
نویسنده
چکیده
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. We discuss the role of such Pimsner algebras w.r.t. the notion of inner endomorphism. Furthermore, we study bundles of Cuntz algebras carrying a global circle action, and assign to them a class in the representable KK -group of the zero-grade bundle. We explicitly compute such class for the Pimsner algebra of a vector bundle. AMS Subj. Class.: 46L05, 46L80.
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تاریخ انتشار 2008