**Fields Institute Communications**

Volume: 17;
1997;
189 pp;
Hardcover

MSC: Primary 46; 58;
Secondary 19

Print ISBN: 978-0-8218-0823-8

Product Code: FIC/17

List Price: $83.00

Individual Member Price: $66.40

**Electronic ISBN: 978-1-4704-2985-0
Product Code: FIC/17.E**

List Price: $83.00

Individual Member Price: $66.40

# Cyclic Cohomology and Noncommutative Geometry

Share this page *Edited by *
*Joachim J. R. Cuntz; Masoud Khalkhali*

A co-publication of the AMS and Fields Institute

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

## Cyclic Cohomology and Noncommutative Geometry

- Cover Cover11
- Title page iii4
- Contents v6
- Preface vii8
- Asymptotic morphisms on contact manifolds and index theory 110
- Noncommutative differential geometry and the structure of space time 1726
- Excision in periodic cyclic theory for topological algebras 4352
- A closed model structure for differential graded algebras 5564
- Sur la K-théorie multiplicative 5968
- A survey of entire cyclic cohomology 7988
- Overview on Leibniz algebras, dialgebras and their homology 91100
- Straight Chern character for Witt spaces 103112
- Super-connections and non-commutative geometry 115124
- Spectral flow in type I and II factors—A new approach 137146
- A survey of asymptotic cyclic cohomology 155164
- The higher Γ-index for coverings of manifolds with boundaries 169178
- Appendix I 185194
- Appendix II 187196
- Back Cover Back Cover1199