Noncommutative Geometry - Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 3-9, 2000

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.

List of contents

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.

Summary

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.

Product details

• Authors: A. Connes, Alai Connes, Alain Connes, J. Cuntz, Joachi Cuntz, Joachim Cuntz, E. Guentner, Erik Guentner, Erik G et a Guentner, Erik G. Guentner, Nigel Higson, Jerome Kaminker, John E. Roberts
• Assisted by: Sergi Doplicher (Editor), Sergio Doplicher (Editor), Sergio (Hrsg.) Doplicher (Editor), Longo (Editor), Longo (Editor), Robert Longo (Editor), Roberto Longo (Editor), Roberto (Hrsg.) Longo (Editor)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Book
• Released: 01.01.2004
• EAN: 9783540203575
• ISBN: 978-3-540-20357-5
• No. of pages: 349
• Weight: 560 g
• Series: Lecture Notes in Mathematics; C.I.M.E. Foundation Subseries; Lecture Notes in Mathematics; C.I.M.E. Foundation Subseries
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; Gravitation, C, Quantenphysik (Quantenmechanik und Quantenfeldtheorie), Gravity, Mathematics and Statistics, Functional Analysis, Quantum Physics, Quantum physics (quantum mechanics and quantum field theory), Manifolds (Mathematics), Global Analysis and Analysis on Manifolds, Classical and Quantum Gravity, Classical and Quantum Gravitation, Relativity Theory, Functional analysis and transforms