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

Noncommutative Geometry

Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 3-9, 2000
Mitarbeit:Connes, A.; Cuntz, J.; Guentner, E.

• Broschiertes Buch

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.

Produktdetails

• Lecture Notes in Mathematics 1831
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-20357-5
• 2004
• Seitenzahl: 372
• Erscheinungstermin: 8. Dezember 2003
• Englisch
• Abmessung: 233mm x 155mm x 21mm
• Gewicht: 560g
• ISBN-13: 9783540203575
• ISBN-10: 3540203575
• Artikelnr.: 14801922

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.