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Cyclic Cohomology and Noncommutative Geometry
 
Edited by: Joachim J. R. Cuntz :  University of Heidelberg, Heidelberg, Germany
Masoud Khalkhali :  University of Western Ontario, London, ON, Canada
A co-publication of the AMS and Fields Institute
Cyclic Cohomology and Noncommutative Geometry
eBook ISBN:  978-1-4704-2985-0
Product Code:  FIC/17.E
List Price: $88.00
MAA Member Price: $79.20
AMS Member Price: $70.40
Add to cart
Cyclic Cohomology and Noncommutative Geometry
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Cyclic Cohomology and Noncommutative Geometry
Edited by: Joachim J. R. Cuntz :  University of Heidelberg, Heidelberg, Germany
Masoud Khalkhali :  University of Western Ontario, London, ON, Canada
A co-publication of the AMS and Fields Institute
eBook ISBN:  978-1-4704-2985-0
Product Code:  FIC/17.E
List Price: $88.00
MAA Member Price: $79.20
AMS Member Price: $70.40
Add to cart
  • Book Details
     
     
    Fields Institute Communications
    Volume: 17; 1997; 189 pp
    MSC: Primary 46; 58; Secondary 19

    Noncommutative geometry is a new field that is among the great challenges of present-day mathematics. Its methods allow one to treat noncommutative algebras—such as algebras of pseudodifferential operators, group algebras, or algebras arising from quantum field theory—on the same footing as commutative algebras, that is, as spaces. Applications range over many fields of mathematics and mathematical physics.

    This volume contains the proceedings of the workshop on “Cyclic Cohomology and Noncommutative Geometry” held at The Fields Institute (Waterloo, ON) in June 1995. The workshop was part of the program for the special year on operator algebras and its applications.

    Features:

    • Contributions by originators of the subject who are leaders in the field.
    • Survey articles not previously available.
    • Expository articles geared toward the larger mathematical community.

    Titles in this series are co-published with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).
    Readership

    Graduate students, research mathematicians and physicists interested in cyclic cohomology, noncommutative geometry, and their applications.
  • Table of Contents
     
     
    • Chapters
    • Pradeep Alwis — Asymptotic morphisms on contact manifolds and index theory
    • Alain Connes — Noncommutative differential geometry and the structure of space time
    • Joachim Cuntz — Excision in periodic cyclic theory for topological algebras
    • John Jardine — A closed model structure for differential graded algebras
    • Max Karoubi — Sur la K-théorie multiplicative
    • Masoud Khalkhali — A survey of entire cyclic cohomology
    • Jean-Louis Loday — Overview on Leibniz algebras, dialgebras and their homology
    • Henri Moscovici and Fang-Bing Wu — Straight Chern character for Witt spaces
    • Victor Nistor — Super-connections and non-commutative geometry
    • J Phillips — Spectral flow in type I and II factors—A new approach
    • Michael Puschnigg — A survey of asymptotic cyclic cohomology
    • Fang-Bing Wu — The higher $\Gamma $-index for coverings of manifolds with boundaries
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Fields Institute Communications
Volume: 17; 1997; 189 pp
MSC: Primary 46; 58; Secondary 19

Noncommutative geometry is a new field that is among the great challenges of present-day mathematics. Its methods allow one to treat noncommutative algebras—such as algebras of pseudodifferential operators, group algebras, or algebras arising from quantum field theory—on the same footing as commutative algebras, that is, as spaces. Applications range over many fields of mathematics and mathematical physics.

This volume contains the proceedings of the workshop on “Cyclic Cohomology and Noncommutative Geometry” held at The Fields Institute (Waterloo, ON) in June 1995. The workshop was part of the program for the special year on operator algebras and its applications.

Features:

  • Contributions by originators of the subject who are leaders in the field.
  • Survey articles not previously available.
  • Expository articles geared toward the larger mathematical community.

Titles in this series are co-published with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).
Readership

Graduate students, research mathematicians and physicists interested in cyclic cohomology, noncommutative geometry, and their applications.
  • Chapters
  • Pradeep Alwis — Asymptotic morphisms on contact manifolds and index theory
  • Alain Connes — Noncommutative differential geometry and the structure of space time
  • Joachim Cuntz — Excision in periodic cyclic theory for topological algebras
  • John Jardine — A closed model structure for differential graded algebras
  • Max Karoubi — Sur la K-théorie multiplicative
  • Masoud Khalkhali — A survey of entire cyclic cohomology
  • Jean-Louis Loday — Overview on Leibniz algebras, dialgebras and their homology
  • Henri Moscovici and Fang-Bing Wu — Straight Chern character for Witt spaces
  • Victor Nistor — Super-connections and non-commutative geometry
  • J Phillips — Spectral flow in type I and II factors—A new approach
  • Michael Puschnigg — A survey of asymptotic cyclic cohomology
  • Fang-Bing Wu — The higher $\Gamma $-index for coverings of manifolds with boundaries
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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