Cup products in Hopf cyclic cohomology with coefficients in contramodules

Mathematics – K-Theory and Homology

Scientific paper

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12 pages, to appear in Contemporary Mathematics, a volume in honor of Henri Moscovici's 65th birthday

Scientific paper

We use stable anti Yetter-Drinfeld contramodules to improve the cup products
in Hopf cyclic cohomology. The improvement fixes the lack of functoriality of
the cup products previously defined and show that the cup products are
sensitive to the coefficients.

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