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

• Main Authors: Connes, Alain (Author, http://id.loc.gov/vocabulary/relators/aut), Cuntz, Joachim (http://id.loc.gov/vocabulary/relators/aut), Guentner, Erik G. (http://id.loc.gov/vocabulary/relators/aut), Higson, Nigel (http://id.loc.gov/vocabulary/relators/aut), Kaminker, Jerome (http://id.loc.gov/vocabulary/relators/aut), Roberts, John E. (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Other Authors: Doplicher, Sergio (Editor, http://id.loc.gov/vocabulary/relators/edt), Longo, Roberto (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2004.
• Edition: 1st ed. 2004.
• Series: C.I.M.E. Foundation Subseries ; 1831
• Subjects: 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.

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 Qua...

Table 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.