Hopf type formulas for cyclic homology

Nick Inassaridze; Manuel Ladra

doi:10.1016/j.crma.2008.02.025

Homological Algebra

Hopf type formulas for cyclic homology

Presented by: Alain Connes

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

Comptes Rendus. Mathématique, Volume 346 (2008) no. 7-8, pp. 385-390.

Abstract
Résumé

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.

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.

Received: 2007-10-11
Accepted: 2008-02-25
Published online: 2008-04-01

DOI: 10.1016/j.crma.2008.02.025

Author's affiliations:

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/

References
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