Abstract
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 L p. 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.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Comptes Rendus de l'Academie des Sciences Series I Mathematics
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
