1.

Record Nr.

UNINA9910828539203321

Titolo

Groupoids in analysis, geometry, and physics : AMS-IMS-SIAM Joint Summer Research Conference on Groupoids in Analysis, Geometry, and Physics, June 20-24, 1999, University of Colorado, Boulder / / Arlan Ramsay, Jean Renault, editors

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [2001]

©2001

ISBN

0-8218-7872-7

0-8218-2042-7

Descrizione fisica

1 online resource (208 p.)

Collana

Contemporary mathematics, , 0271-4132 ; ; 282

Disciplina

512/.2

Soggetti

Groupoids

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""Contents""; ""Introduction""; ""Groupoids: Unifying internal and external symmetry. A tour through some examples""; ""A primer for the Brauer group of a groupoid""; ""Amenable groupoids""; ""The role of groupoids in classification theory: A new approach. The UHF algebra case""; ""Bundles over groupoids""; ""Groupoids and foliations""; ""Etale groupoids, derived categories, and operations""; ""The analytic index for proper, Lie groupoid actions""; ""Groupoid C*-algebras and operator K-theory""; ""Groupoids of manifolds with corners and index theory""

""Quantization of Poisson algebras associated to Lie algebroids""""1. Introduction""; ""2. Lie groupoids and Lie algebroids""; ""3. The C*-algebra of a Lie groupoid""; ""4. Strict deformation quantization""; ""5. Continuous fields of groupoids""; ""6. The tangent groupoid""; ""7. The Fourier transform on vector bundles""; ""8. Weyl quantization""; ""9. The local structure of the Poisson bracket""; ""10. Proof of Dirac's condition""; ""11. Examples and comments""; ""References""