Products in Hopf-cyclic cohomology
Homology, homotopy, and applications, Tome 10 (2008) no. 2, pp. 115-133.

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

We construct several pairings in Hopf-cyclic cohomology of (co)module (co)algebras with arbitrary coefficients. As a special case of one of these pairings, we recover the Connes-Moscovici characteristic map in Hopf-cyclic cohomology. We also prove that this particular pairing, along with a few others, would stay the same if we replace the derived category of (co)cyclic modules with the homotopy category of (special) towers of super complexes, or the derived category of mixed complexes.
DOI : 10.4310/HHA.2008.v10.n2.a5
Classification : 16E40
Keywords: cup product, Hopf-cyclic cohomology, characteristic map
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     author = {Atabey Kaygun},
     title = {Products in {Hopf-cyclic} cohomology},
     journal = {Homology, homotopy, and applications},
     pages = {115--133},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2008.v10.n2.a5/}
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Atabey Kaygun. Products in Hopf-cyclic cohomology. Homology, homotopy, and applications, Tome 10 (2008) no. 2, pp. 115-133. doi : 10.4310/HHA.2008.v10.n2.a5. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2008.v10.n2.a5/

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