Comptes Rendus
no. 7-8
Homological Algebra
Hopf type formulas for cyclic homology
[Formules de type Hopf pour l'homologie cyclique]

Présenté par : Alain Connes

Nick Inassaridze1, 2 ; Manuel Ladra3
1 A. Razmadze Mathematical Institute, M.Alexidze St. 1, 0193 Tbilisi, Georgia
2 National Center for Science and Technology, Georgia
3 Departamento de Álgebra, Facultad de Matemáticas, Universidad de Santiago de Compostela, 15782 Santiago de Compostela, Spain
Comptes Rendus. Mathématique, Volume 346 (2008) no. 7-8, pp. 385-390.

On inscrit l'homologie cyclique des algèbres associatives dans le cadre de l'homologie cotriple de Barr et Beck. En conséquence, on décrit l'homologie cyclique des algèbres associatives au moyen des formules de Hopf généralisées. Cette Note fait partie d'un projet commun avec Donadze sur les foncteurs dérivés en (co)homologie cyclique.

We fit the cyclic homology of associative algebras into the context of cotriple homology of Barr and Beck. Consequently, we describe the cyclic homology of associative algebras in terms of the generalised Hopf type formulas. This Note is part of a joint project with Donadze about derived functors in cyclic (co)homology.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2008.02.025
Nick Inassaridze 1, 2 ; Manuel Ladra 3

1 A. Razmadze Mathematical Institute, M.Alexidze St. 1, 0193 Tbilisi, Georgia
2 National Center for Science and Technology, Georgia
3 Departamento de Álgebra, Facultad de Matemáticas, Universidad de Santiago de Compostela, 15782 Santiago de Compostela, Spain 
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Nick Inassaridze; Manuel Ladra. Hopf type formulas for cyclic homology. Comptes Rendus. Mathématique, Volume 346 (2008) no. 7-8, pp. 385-390. doi : 10.1016/j.crma.2008.02.025. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2008.02.025/

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