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Cyclic Cohomology of Corings

Published online by Cambridge University Press:  14 November 2008

Bahram Rangipour
Bahram Rangipour
Affiliation:
Department of Mathematics and Statistics, University of New Brunswick, Fredericton, NB, CANADA, E3B 5A3, bahram@unb.ca.
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Abstract

We define cyclic cohomology of corings over not necessarily commutative algebras. Our method is a generalization of Hopf-cyclic cohomology obtained by replacing coalgebras and Hopf algebras with corings and para-Hopf algebroids, respectively. We also study the dual of this theory whose cyclic cohomology, in contrast with the case of algebras and coalgebras, is not trivial.

Keywords

Coringspara Hopf algebroidscyclic objectscyclic cohomology
Type
Research Article
Information
Journal of K-Theory , Volume 4 , Issue 1 , August 2009 , pp. 193 - 207
Copyright
Copyright © ISOPP 2008

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