A characteristic map for compact quantum groups

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Tarih

2017-09

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Springer Heidelberg

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Araştırma projeleri

Organizasyon Birimleri

Dergi sayısı

Özet

We show that if G is a compact Lie group and g is its Lie algebra, then there is a map from the Hopf-cyclic cohomology of the quantum enveloping algebra U-q(g) to the twisted cyclic cohomology of quantum group algebra O(G(q)). We also show that the Schmudgen-Wagner index cocycle associated with the volume form of the differential calculus on the standard Podles sphere O(S-q(2)) is in the image of this map.

Açıklama

Anahtar Kelimeler

Compact quantum group algebra, Characteristic map, Cyclic cohomology, Hopf-cyclic cohomology, Cup products, Homology, Algebras, Modules, Spheres, Theorem

Kaynak

Journal Of Homotopy And Related Structures

WoS Q Değeri

Q4
Q4

Scopus Q Değeri

Q2

Cilt

12

Sayı

3

Künye

Kaygun, A. & Sütlü, S. S. (2017). A characteristic map for compact quantum groups. Journal of Homotopy and Related Structures, 12(3), 549-576. doi:10.1007/s40062-016-0138-y