Algebra
Cup products in Hopf-cyclic cohomology
[Cup-produits dans la cohomologie Hopf-cyclique]

Présenté par : Alain Connes

Khalkhali, Masoud1 ; Rangipour, Bahram2
1 Department of Mathematics, University of Western Ontario, London ON, Canada
2 Mathematics and Statistics, University of Victoria, Victoria B.C., Canada
Comptes Rendus. Mathématique, Tome 340 (2005) no. 1, pp. 9-14.

. Nous construisons deux types de cup-produits pour la cohomologie Hopf-cyclique. Lorsque l'algèbre 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 l'application caractéristique de Connes–Moscovici pour l'action des algèbres de Hopf sur les algèbres.

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 Connes' cup product in ordinary cyclic cohomology. The second cup product generalizes Connes–Moscovici's characteristic map for actions of Hopf algebras on algebras.

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DOI : 10.1016/j.crma.2004.10.025
Khalkhali, Masoud 1 ; Rangipour, Bahram 2

1 Department of Mathematics, University of Western Ontario, London ON, Canada
2 Mathematics and Statistics, University of Victoria, Victoria B.C., Canada 
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Khalkhali, Masoud; Rangipour, Bahram. Cup products in Hopf-cyclic cohomology. Comptes Rendus. Mathématique, Tome 340 (2005) no. 1, pp. 9-14. doi : 10.1016/j.crma.2004.10.025. http://www.numdam.org/articles/10.1016/j.crma.2004.10.025/

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