Connes / Doplicher / Cuntz Noncommutative Geometry

Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 3-9, 2000
2004
ISBN: 978-3-540-39702-1
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 1831, 356 Seiten, eBook

Reihe: Lecture Notes in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Connes, Alain

Cuntz, Joachim

Guentner, Erik G.

Higson, Nigel

Kaminker, Jerome

Roberts, John E.

Doplicher, Sergio

Longo, Roberto

Inhaltsverzeichnis

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.