1.

Record Nr.

UNINA9910144620203321

Autore

Connes Alain

Titolo

Noncommutative Geometry : Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 3-9, 2000 / / by Alain Connes, Joachim Cuntz, Erik G. Guentner, Nigel Higson, Jerome Kaminker, John E. Roberts ; edited by Sergio Doplicher, Roberto Longo

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2004

ISBN

3-540-39702-7

Edizione

[1st ed. 2004.]

Descrizione fisica

1 online resource (XVI, 356 p.)

Collana

C.I.M.E. Foundation Subseries ; ; 1831

Disciplina

530.15/255

Soggetti

Global analysis (Mathematics)

Manifolds (Mathematics)

Functional analysis

Quantum physics

Gravitation

Global Analysis and Analysis on Manifolds

Functional Analysis

Quantum Physics

Classical and Quantum Gravitation, Relativity Theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

Cyclic Cohomology, Noncommutative Geometry and Quantum Group Symmetries -- Cyclic Theory and the Bivariant Chern-Connes Character -- Group C*-Algebras and K-Theory -- Geometric and Analytic Properties of Groups -- More Lectures on Algebraic Quantum Field Theory.

Sommario/riassunto

Noncommutative Geometry is one of the most deep and vital research subjects of present-day Mathematics. Its development, mainly due to Alain Connes, is providing an increasing number of applications and deeper insights for instance in Foliations, K-Theory, Index Theory, Number Theory but also in Quantum Physics of elementary particles. The purpose of the Summer School in Martina Franca was to offer a fresh invitation to the subject and closely related topics; the



contributions in this volume include the four main lectures, cover advanced developments and are delivered by prominent specialists.