Homology, Homotopy and Applications

Volume 10 (2008)

Number 2

Products in Hopf-cyclic cohomology

Pages: 115 – 133

DOI: http://dx.doi.org/10.4310/HHA.2008.v10.n2.a5

Author

Atabey Kaygun (Department of Mathematics, The Ohio State University, Columbus, Oh., U.S.A.)

Abstract

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.

Keywords

cup product; Hopf-cyclic cohomology; characteristic map

2010 Mathematics Subject Classification

16E40

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