A Continuous Field of C*-algebras and the Tangent Groupoid for Manifolds with Boundary

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

For a smooth manifold with boundary we construct a semigroupoid and a continuous field of C*-algebras which extend Connes' construction of the tangent groupoid. We show the asymptotic multiplicativity of \hbar-scaled truncated pseudodifferential operators with smoothing symbols and compute the K-theory of the associated symbol algebra.

Keywords

Functional Analysis, Operator Algebras, 58J32; 58H05; 35S15; 46L80

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/75798

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0507317
 http://arxiv.org/abs/math/0507317

Collections

arXiv