1.

Record Nr.

UNINA9910480024303321

Titolo

Aspects of operator algebras and applications : UIMP-RSME Luís A. Santaló Summer School, Universidad Internacional Menéndez Pelayo, Santander, Spain, July 21-25, 2008 / / Pere Ara, Fernando Lledó, Francesc Perera, editors

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society

[Madrid, Spain] : , : Real Sociedad Matemática Española, , [2011]

©2011

ISBN

0-8218-8213-9

Descrizione fisica

1 online resource (178 p.)

Collana

Contemporary mathematics ; ; volume 534

Disciplina

512.556

Soggetti

Operator algebras

Operator theory

Electronic books.

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""; ""Preface""; ""K-Theory For Operator Algebras. Classification Of C*-Algebras""; ""1. Introduction""; ""2. The Cuntz Semigroup: Definitions, Historical Origin And Technical Devices""; ""3. Hilbert C*-Modules. Kasparov'S Theorem""; ""4. The Category Cu""; ""5. Classification Of C*-Algebras""; ""References""; ""Modular Theory By Example""; ""1. Introduction""; ""2. Modular Theory: Definitions, Results And First Examples""; ""3. Modular Objects For A Crossed Product""; ""4. Modular Objects For The Car-Algebra""; ""5. Some Classical Applications Of Modular Theory""

""6. Appendix: Crossed Products And The Car-Algebra""""References""; ""Modular Theory For The Von Neumann Algebras Of Local Quantum Physics""; ""1. Introduction""; ""2. Free Quantum Fields And Local Quantum Theories""; ""3. Bisognano-Wichmann Relations.""; ""4. Modular Covariance And Modular Localization.""; ""References""; ""The Symbiosis Of C*- And W*-Algebras""; ""Appendix: Basic Definitions And Results For Operator Algebras""; ""1. Introduction""; ""2. C*-Algebras""; ""3. Von Neumann Algebras""; ""References""