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Mathematics - Analysis | Noncommutative Geometry - Lectures given at the C.I.M.E. Summer School held in Martina Franca,

Noncommutative Geometry

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

Connes, A., Cuntz, J., Guentner, E.G., Higson, N., Kaminker, J., Roberts, J.E.

Doplicher, Sergio, Longo, Roberto (Eds.)

2004, XVI, 356 p.

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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.

Content Level » Research

Keywords » C*-Algebras - C*-algebra - K-Theory - cyclic cohomology - noncommutative geometry - quantum field theory - quantum physics

Related subjects » Analysis - Quantum Physics - Theoretical, Mathematical & Computational Physics

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.

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