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Advances in noncommutative geometry : on the occasion of Alain Connes' 70th birthday / Ali Chamseddine, Caterina Consani, Nigel Higson, Masoud Khalkhali, Henri Moscovici, Guoliang Yu, editors.

This authoritative volume in honor of Alain Connes, the foremost architect of Noncommutative Geometry, presents the state-of-the art in the subject. The book features an amalgam of invited survey and research papers that will no doubt be accessed, read, and referred to, for several decades to come....

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Bibliographic Details
Online Access: Full Text (via Springer)
Other Authors: Chamseddine, Ali (Editor), Consani, Caterina (Editor), Higson, Nigel, 1963- (Editor), Khalkhali, Masoud (Editor), Moscovici, Henri (Editor), Yu, Guoliang (Editor)
Format: eBook
Language:English
Published: Cham, Switzerland : Springer, [2019]
Subjects:
Global analysis (Mathematics)
Manifolds (Mathematics)
Geometry.
Number theory.
Table of Contents:
  • Foreword
  • A survey of spectral models of gravity coupled to matter (Chamseddine, van Suijlekom)
  • The Riemann-Roch strategy, complex lift of the scaling site (Connes, Consani)
  • The Baum-Connes conjecture: an extended survey (Aparicio et al.)
  • Lie groupoids, pseudodierential calculus and index theory (Debord, Skandalis)
  • Cyclic homology in a special world (Dundas)
  • Curvature in noncommutative geometry (Fathizadeh, Khalkhali)
  • Index theory and noncommutative geometry: a survey (Gorokhovsky, van Erp)
  • Modular Gaussian curvature (Lesch, Moscovici)
  • Advances in Dixmier traces and applications (Lord et al.)
  • Commutants mod normed ideals (Voiculescu)
  • Quantum eld theory on noncommutative space (Wulkenhaar)
  • Higher invariants in noncommutative geometry (Xie, Yu)

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