Noncommutative geometry : lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 3-9, 2000
Author(s)
Bibliographic Information
Noncommutative geometry : lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 3-9, 2000
(Lecture notes in mathematics, 1831 . Fondazione C.I.M.E.,
Springer, c2004
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Note
Other authors: J. Cuntz, E. Guentner, N. Higson, J. Kaminker, J.E. Roberts
Includes list of C.I.M.E. Seminars (p. [345]-348)
Includes bibliographical references
Description and Table of Contents
Description
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.
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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