Excision in Hochschild and Cyclic Homology without Continuous Linear Sections

نویسنده

  • RALF MEYER
چکیده

We generalise the known excision results for Hochschild, cyclic and periodic cyclic homology to algebras in symmetric monoidal categories. Our abstract result also contains excision for extensions of nuclear H-unital Fréchet algebras. As an application, we compute the Hochschild and cyclic homology of the algebra of Whitney functions on an arbitrary closed subset of a smooth manifold, and the periodic cyclic homology for the algebras of smooth functions on a closed subset of a smooth manifold.

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تاریخ انتشار 2010