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Cyclic cohomology after the excision theorem of Cuntz and Quillen

Published online by Cambridge University Press:  17 May 2013

Jacek Brodzki
Jacek Brodzki*
Affiliation:
School of Mathametics, University of Southampton, Highfield, Southampton, SO17 1BJ, EnglandJ.Brodzki@soton.ac.uk
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Abstract

The excision theorem of Cuntz and Quillen established the existence of a six term exact sequence in the bivariant periodic cyclic cohomology HP*(–,–) associated with an arbitrary algebra extension 0 → S → P → Q → 0. This remarkable result enabled far reaching developments in the purely algebraic periodic cyclic cohomology. It also provided a new formalism that led to the creation of new versions of this theory for topological and bornological algebras. In this article we outline some of the developments that resulted from this breakthrough.

Keywords

Excision theoremperiodic cyclic cohomologyChern characterbornological algebrasPrimary 19D55Secondary 48L8058B3446A17
Type
Research Article
Information
Journal of K-Theory , Volume 11 , Issue 3: The Legacy of Daniel Quillen , June 2013 , pp. 575 - 598
Copyright
Copyright © ISOPP 2013 

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