Products in Hopf-cyclic cohomology

Atabey Kaygun*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)115-133
Number of pages19
JournalHomology, Homotopy and Applications
Issue number2
Publication statusPublished - 2008
Externally publishedYes


  • Characteristic map
  • Cup product
  • Hopf-cyclic cohomology


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