PRODUCTS IN HOPF-CYCLIC COHOMOLOGY

Kaygun A.

HOMOLOGY HOMOTOPY AND APPLICATIONS, cilt.10, sa.2, ss.115-133, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 2
  • Basım Tarihi: 2008
  • Doi Numarası: 10.4310/hha.2008.v10.n2.a5
  • Dergi Adı: HOMOLOGY HOMOTOPY AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.115-133
  • İstanbul Teknik Üniversitesi Adresli: Hayır

Özet

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.