02910nam 2200553 450 991082853920332120180328131032.00-8218-7872-70-8218-2042-7(CKB)3240000000069808(EBL)3113079(SSID)ssj0000629328(PQKBManifestationID)11439196(PQKBTitleCode)TC0000629328(PQKBWorkID)10718231(PQKB)11765455(MiAaPQ)EBC3113079(RPAM)12461185(PPN)197106080(EXLCZ)99324000000006980820010705h20012001 uy| 0engur|n|---|||||txtccrGroupoids 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, editorsProvidence, Rhode Island :American Mathematical Society,[2001]©20011 online resource (208 p.)Contemporary mathematics,0271-4132 ;282Description based upon print version of record.Includes bibliographical references.""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""Contemporary mathematics (American Mathematical Society) ;282.GroupoidsCongressesGroupoids512/.2Ramsay ArlanRenault Jean1949-AMS-IMS-SIAM Joint Summer Research Conference on Groupoids in Analysis, Geometry, and PhysicsMiAaPQMiAaPQMiAaPQBOOK9910828539203321Groupoids in analysis, geometry, and physics377748UNINA