Noncommutative Geometry

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

  • Authors
  • Alain Connes
  • Joachim Cuntz
  • Erik Guentner
  • Nigel Higson
  • Jerome Kaminker
  • John E. Roberts
  • Editors
  • Sergio Doplicher
  • Roberto Longo

Part of the Lecture Notes in Mathematics book series (LNM, volume 1831)

Table of contents

  1. Front Matter
    Pages I-XIV
  2. Nigel Higson, Erik Guentner
    Pages 137-251
  3. Erik Guentner, Jerome Kaminker
    Pages 253-262
  4. John E. Roberts
    Pages 263-342
  5. Back Matter
    Pages 343-354

About this book

Introduction

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.

Keywords

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

Bibliographic information

  • DOI https://doi.org/10.1007/b94118
  • Copyright Information Springer-Verlag Berlin Heidelberg 2004
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-20357-5
  • Online ISBN 978-3-540-39702-1
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book