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Noncommutative Geometry

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

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

Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)

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Table of contents (5 chapters)

  1. Front Matter

    Pages I-XIV
  2. Group C*-Algebras and K-Theory

    • Nigel Higson, Erik Guentner
    Pages 137-251
  3. Geometric and Analytic Properties of Groups

    • Erik Guentner, Jerome Kaminker
    Pages 253-262
  4. More Lectures on Algebraic Quantum Field Theory

    • John E. Roberts
    Pages 263-342
  5. Back Matter

    Pages 343-354

About this book

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

  • Book Title: Noncommutative Geometry

  • Book Subtitle: 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

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/b94118

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2004

  • Softcover ISBN: 978-3-540-20357-5Published: 08 December 2003

  • eBook ISBN: 978-3-540-39702-1Published: 15 December 2003

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XVI, 356

  • Topics: Global Analysis and Analysis on Manifolds, Functional Analysis, Quantum Physics, Classical and Quantum Gravity

Buying options

eBook USD 54.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 69.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions