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Cyclic cohomology after the excision theorem of Cuntz and Quillen

Cyclic cohomology after the excision theorem of Cuntz and Quillen
Cyclic cohomology after the excision theorem of Cuntz and Quillen
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.
1865-2433
575-598
Brodzki, Jacek
b1fe25fd-5451-4fd0-b24b-c59b75710543
Brodzki, Jacek
b1fe25fd-5451-4fd0-b24b-c59b75710543

Brodzki, Jacek (2013) Cyclic cohomology after the excision theorem of Cuntz and Quillen. Journal of K-theory K-theory and its Applications to Algebra Geometry and Topology, 11 (3), 575-598. (doi:10.1017/is012011006jkt202).

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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.

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Published date: 2013
Organisations: Pure Mathematics

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Local EPrints ID: 363525
URI: https://eprints.soton.ac.uk/id/eprint/363525
ISSN: 1865-2433
PURE UUID: ea07d7a5-b680-49e9-aa0a-f76f218a6f2f

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Date deposited: 27 Mar 2014 14:41
Last modified: 18 Jul 2017 02:39

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Author: Jacek Brodzki

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