Fields Institute Communications 1997; 189 pp; hardcover Volume: 17 Reprint/Revision History: reprinted 1998 ISBN10: 0821808230 ISBN13: 9780821808238 List Price: US$79 Member Price: US$63.20 Order Code: FIC/17
 Noncommutative geometry is a new field that is among the great challenges of presentday mathematics. Its methods allow one to treat noncommutative algebrassuch as algebras of pseudodifferential operators, group algebras, or algebras arising from quantum field theoryon 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 copublished 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  P. N. Alwis  Asymptotic morphisms on contact manifolds and index theory
 A. Connes  Noncommutative differential geometry and the structure of space time
 J. Cuntz  Excision in periodic cyclic theory for topological algebras
 J. F. Jardine  A closed model structure for differential graded algebras
 M. Karoubi  Sur la Kthéorie multiplicative
 M. Khalkhali  A survey of entire cyclic cohomology
 J.L. Loday  Overview on Leibniz algebras, dialgebras and their homology
 H. Moscovici and F.B. Wu  Straight Chern character for Witt spaces
 V. Nistor  Superconnections and noncommutative geometry
 J. Phillips  Spectral flow in type I and II factorsA new approach
 M. Puschnigg  A survey of asymptotic cyclic cohomology
 F.B. Wu  The higher \(\Gamma\)index for coverings of manifolds with boundaries
