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. The 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. It features: contributions by originators of the subject who are leaders in the field; survey articles not previously available; and expository articles geared toward the larger mathematical community.
Asymptotic morphisms on contact manifolds and index theory by P. N. Alwis Noncommutative differential geometry and the structure of space time by A. Connes Excision in periodic cyclic theory for topological algebras by J. Cuntz A closed model structure for differential graded algebras by J. F. Jardine Sur la K-theorie multiplicative by M. Karoubi A survey of entire cyclic cohomology by M. Khalkhali Overview on Leibniz algebras, dialgebras and their homology by J.-L. Loday Straight Chern character for Witt spaces by H. Moscovici and F.-B. Wu Super-connections and non-commutative geometry by V. Nistor Spectral flow in type I and II factors--A new approach by J. Phillips A survey of asymptotic cyclic cohomology by M. Puschnigg The higher $\Gamma$-index for coverings of manifolds with boundaries by F.-B. Wu.
