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

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 Qu...

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Körperschaft: Centro Internazionale Matematico Estivo (BerichterstatterIn)
Weitere Verfasser: Connes, Alain (HerausgeberIn), Cuntz, Joachim (HerausgeberIn), Guentner, Erik (HerausgeberIn), Higson, Nigel (HerausgeberIn), Kaminker, Jerome (HerausgeberIn), Roberts, John E. (HerausgeberIn), Longo, Roberto (HerausgeberIn), Doplicher, Sergio (HerausgeberIn)
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Sprache:ger
Veröffentlicht: Berlin, Heidelberg u.a. Springer 2004
Schriftenreihe:Lecture notes in mathematics 1831 : Fondazione C.I.M.E., Firenze
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Zusammenfassung: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. TOC:Preface.- A. Connes: Cyclic Cohomology, NoncommutativeGeometry and Quantum Group symmetries.- J. Cuntz: Cyclic Theory and the Bivariant Chern-Connes Character.- N. Higson, E. Guentner: Group C*-Algebras and K-Theory.- E. Guentner, J. Kaminker: Geometric and Analytic Properties ofGroups.- J. E. Roberts: More Lectures on Algebraic Quantum Field Theory
Beschreibung:Literaturangaben
Beschreibung:XIV, 348 S
graph. Darst.
ISBN:3540203575
3-540-20357-5