[Formules de type Hopf pour l'homologie cyclique]
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.
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@article{CRMATH_2008__346_7-8_385_0,
author = {Inassaridze, Nick and Ladra, Manuel},
title = {Hopf type formulas for cyclic homology},
journal = {Comptes Rendus. Math\'ematique},
pages = {385--390},
publisher = {Elsevier},
volume = {346},
number = {7-8},
year = {2008},
doi = {10.1016/j.crma.2008.02.025},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2008.02.025/}
}
TY - JOUR AU - Inassaridze, Nick AU - Ladra, Manuel TI - Hopf type formulas for cyclic homology JO - Comptes Rendus. Mathématique PY - 2008 SP - 385 EP - 390 VL - 346 IS - 7-8 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2008.02.025/ DO - 10.1016/j.crma.2008.02.025 LA - en ID - CRMATH_2008__346_7-8_385_0 ER -
%0 Journal Article %A Inassaridze, Nick %A Ladra, Manuel %T Hopf type formulas for cyclic homology %J Comptes Rendus. Mathématique %D 2008 %P 385-390 %V 346 %N 7-8 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2008.02.025/ %R 10.1016/j.crma.2008.02.025 %G en %F CRMATH_2008__346_7-8_385_0
Inassaridze, Nick; Ladra, Manuel. Hopf type formulas for cyclic homology. Comptes Rendus. Mathématique, Tome 346 (2008) no. 7-8, pp. 385-390. doi : 10.1016/j.crma.2008.02.025. http://www.numdam.org/articles/10.1016/j.crma.2008.02.025/
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