Hardcover ISBN:  9780821808238 
Product Code:  FIC/17 
189 pp 
List Price:  $88.00 
MAA Member Price:  $79.20 
AMS Member Price:  $70.40 
Electronic ISBN:  9781470429850 
Product Code:  FIC/17.E 
189 pp 
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Book DetailsFields Institute CommunicationsVolume: 17; 1997MSC: Primary 46; 58; Secondary 19;
Noncommutative geometry is a new field that is among the great challenges of presentday 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.
ReadershipGraduate 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 Kthéorie multiplicative

Masoud Khalkhali  A survey of entire cyclic cohomology

JeanLouis Loday  Overview on Leibniz algebras, dialgebras and their homology

Henri Moscovici and FangBing Wu  Straight Chern character for Witt spaces

Victor Nistor  Superconnections and noncommutative geometry

J Phillips  Spectral flow in type I and II factors—A new approach

Michael Puschnigg  A survey of asymptotic cyclic cohomology

FangBing Wu  The higher $\Gamma $index for coverings of manifolds with boundaries


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Noncommutative geometry is a new field that is among the great challenges of presentday 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.
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 Kthéorie multiplicative

Masoud Khalkhali  A survey of entire cyclic cohomology

JeanLouis Loday  Overview on Leibniz algebras, dialgebras and their homology

Henri Moscovici and FangBing Wu  Straight Chern character for Witt spaces

Victor Nistor  Superconnections and noncommutative geometry

J Phillips  Spectral flow in type I and II factors—A new approach

Michael Puschnigg  A survey of asymptotic cyclic cohomology

FangBing Wu  The higher $\Gamma $index for coverings of manifolds with boundaries