Alain Connes, Joachim Cuntz, Erik G. Guentner, Nigel Higson, Jerome Kaminker, John E. Roberts

Noncommutative Geometry (eBook, PDF)

Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 3-9, 2000
Redaktion: Doplicher, Sergio; Longo, Roberto

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 356
• Erscheinungstermin: 15. Dezember 2003
• Englisch
• ISBN-13: 9783540397021
• Artikelnr.: 53103430

Autorenporträt

A. Connes, Collège de France, Paris, France / J. Cuntz, Universität Münster, Germany / E. Guentner, University of Hawaii, Honolulu, HI, USA / N. Higson, Pennsylvania State University, USA / J. Kaminker, Indiana University - Purdue University at Indianapolis, USA / J. E. Roberts, Università di Roma "Tor Vergata", Italy

Inhaltsangabe

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.