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- W2003147551 abstract "Nous construisons un opérateur d'homotopie sur le complexe de Hochschild de l'algèbre des fonctions lisses, qui concentre les chaînes du complexe construit sur les puissances de la variété de base, sur les jets des fonctions définies le long des diagonales principales de ces puissances. La construction peut être utilisée pour calculer l'homologie de Hochschild des algèbres des fonctions continues ayant des dérivées partielles d'ordre fini dans Lp ; elle permet, en particulier, de lever la condition de compacité dans le théorème de A. Connes sur l'homologie de Hochschild des algèbres des fonctions lisses. We construct a homotopy operator on the. Hochschild complex of the algebra of smooth functions, which concentrates the chains of the complex, living on the various powers of the base manifold, onto jets of functions all along the principal diagonals of the powers. The construction can be adapted to compute the Hochschild homology of the algebras of continuous functions having partial derivatives of finite order in Lp. In particular, our method allows one to lift the compactness hypothesis in A. Connes' theorem concerning the Hochschild homology of the algebra of smooth functions on smooth manifolds." @default.
- W2003147551 created "2016-06-24" @default.
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- W2003147551 date "1998-06-01" @default.
- W2003147551 modified "2023-09-25" @default.
- W2003147551 title "Microlocalisation de l'homologie de Hochschild" @default.
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- W2003147551 doi "https://doi.org/10.1016/s0764-4442(98)80175-4" @default.
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