Geodesic
Cup products in Hopf cyclic cohomology via cyclic modules
Homology, homotopy, and applications, Tome 10 (2008) no. 2, pp. 273-286.

Voir la notice de l'article provenant de la source International Press of Boston

We redefine the cup products in Hopf cyclic cohomology. These cup products were first defined by the author and M. Khalkhali via a relatively complicated method as a generalization of Connes’ cup product for cyclic cohomology of algebras. In this paper we use the generalized Eilenberg-Zilber theorem and define the cup product using a bicocyclic module naturally associated to the cocyclic modules of the coalgebras and the algebras in question. In the last part of the paper we derive some formulas for the cup products.
DOI : 10.4310/HHA.2008.v10.n2.a14
Classification : 16E40, 19D55
Keywords: cup product, Hopf cyclic cohomology 
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     author = {Bahram Rangipour},
     title = {Cup products in {Hopf} cyclic cohomology via cyclic modules},
     journal = {Homology, homotopy, and applications},
     pages = {273--286},
     publisher = {mathdoc},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2008.v10.n2.a14/}
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Bahram Rangipour. Cup products in Hopf cyclic cohomology via cyclic modules. Homology, homotopy, and applications, Tome 10 (2008) no. 2, pp. 273-286. doi : 10.4310/HHA.2008.v10.n2.a14. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2008.v10.n2.a14/

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