Hopf-cyclic cohomology of the Connes-Moscovici Hopf algebras with infinite dimensional coefficients
Yükleniyor...
Dosyalar
Tarih
2018-12-01
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Heidelberg
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We discuss a new strategy for the computation of the Hopf-cyclic cohomology of the Connes-Moscovici Hopf algebra Hn. More precisely, we introduce a multiplicative structure on the Hopf-cyclic complex of Hn, and we show that the van Est type characteristic homomorphism from the Hopf-cyclic complex of Hn to the Gelfand-Fuks cohomology of the Lie algebra Wn of formal vector fields on Rn respects this multiplicative structure. We then illustrate the machinery for n = 1.
Açıklama
Anahtar Kelimeler
Hopf-cyclic cohomology, Connes-Moscovici Hopf algebras, Gelfand-Fuks cohomology, Characteristic classes, Quantum groups, Noncommutative geometry, Bicrossproduct structure, Lie-algebra, Homology, Modules, Construction
Kaynak
Journal Of Homotopy And Related Structures
WoS Q Değeri
Q4
Scopus Q Değeri
Q2
Cilt
13
Sayı
4
Künye
Rangipour, B., Sütlü, S. & Aliabadi, F. Y. (2018). Hopf-cyclic cohomology of the Connes–Moscovici hopf algebras with infinite dimensional coefficients. Journal of Homotopy and Related Structures, 13(4), 927-969. doi:10.1007/s40062-018-0205-7
