Geodesic
Hopf cyclic cohomology in braided monoidal categories
Homology, homotopy, and applications, Tome 12 (2010) no. 1, pp. 111-155.

Voir la notice de l'article provenant de la source International Press of Boston

We extend the formalism of Hopf cyclic cohomology to the context of braided categories. For a Hopf algebra in a braided monoidal abelian category we introduce the notion of stable anti-Yetter-Drinfeld module. We associate a para-cocyclic and a cocyclic object to a braided Hopf algebra endowed with a braided modular pair in involution in the sense of Connes and Moscovici. When the braiding is symmetric the full formalism of Hopf cyclic cohomology with coefficients can be extended to our categorical setting.
DOI : 10.4310/HHA.2010.v12.n1.a9
Classification : 58B34
Keywords: noncommutative geometry, Hopf algebra, braided monoidal category, Hopf cyclic cohomology 
@article{HHA_2010_12_1_a9,
     author = {Masoud Khalkhali and Arash Pourkia},
     title = {Hopf cyclic cohomology in braided monoidal categories},
     journal = {Homology, homotopy, and applications},
     pages = {111--155},
     publisher = {mathdoc},
     volume = {12},
     number = {1},
     year = {2010},
     doi = {10.4310/HHA.2010.v12.n1.a9},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2010.v12.n1.a9/}
}
TY  - JOUR
AU  - Masoud Khalkhali
AU  - Arash Pourkia
TI  - Hopf cyclic cohomology in braided monoidal categories
JO  - Homology, homotopy, and applications
PY  - 2010
SP  - 111
EP  - 155
VL  - 12
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4310/HHA.2010.v12.n1.a9/
DO  - 10.4310/HHA.2010.v12.n1.a9
LA  - en
ID  - HHA_2010_12_1_a9
ER  - 
%0 Journal Article
%A Masoud Khalkhali
%A Arash Pourkia
%T Hopf cyclic cohomology in braided monoidal categories
%J Homology, homotopy, and applications
%D 2010
%P 111-155
%V 12
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4310/HHA.2010.v12.n1.a9/
%R 10.4310/HHA.2010.v12.n1.a9
%G en
%F HHA_2010_12_1_a9
Masoud Khalkhali; Arash Pourkia. Hopf cyclic cohomology in braided monoidal categories. Homology, homotopy, and applications, Tome 12 (2010) no. 1, pp. 111-155. doi : 10.4310/HHA.2010.v12.n1.a9. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2010.v12.n1.a9/

Cité par Sources :