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Comptes Rendus Mathématique
Volume 340, n° 1
pages 9-14 (janvier 2005)
Doi : 10.1016/j.crma.2004.10.025
Received : 25 October 2004 ;  accepted : 29 October 2004
Cup products in Hopf-cyclic cohomology
Cup-produits dans la cohomologie Hopf-cyclique
 

Masoud Khalkhali a , Bahram Rangipour b
a Department of Mathematics, University of Western Ontario, London ON, Canada 
b Mathematics and Statistics, University of Victoria, Victoria B.C., Canada 

Abstract

We construct cup products of two different kinds for Hopf-cyclic cohomology. When the Hopf algebra reduces to the ground field our first cup product reduces to Connesʼ cup product in ordinary cyclic cohomology. The second cup product generalizes Connes-Moscoviciʼs characteristic map for actions of Hopf algebras on algebras. To cite this article: M. Khalkhali, B. Rangipour, C. R. Acad. Sci. Paris, Ser. I 340 (2005).

The full text of this article is available in PDF format.
Résumé

. Nous construisons deux types de cup-produits pour la cohomologie Hopf-cyclique. Lorsque lʼalgèbre de Hopf se réduit au corps de base, notre premier cup-produit se réduit au cup-produit de Connes en cohomologie cyclique ordinaire. Le deuxième cup-produit généralise lʼapplication caractéristique de Connes-Moscovici pour lʼaction des algèbres de Hopf sur les algèbres. Pour citer cet article : M. Khalkhali, B. Rangipour, C. R. Acad. Sci. Paris, Ser. I 340 (2005).

The full text of this article is available in PDF format.


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