Hochschild- and Cyclic-Homology of LCNT-spaces

Christian Oliver Ewald

    Research output: Contribution to journalArticlepeer-review

    2 Citations (Scopus)

    Abstract

    We define a class of topological spaces( LCNT spaces) which come together with a nuclear Frechet algebra. Like the algebra of smooth functions on a manifold, this algebra carries the differential structure of the object. We compute the Hochschild homology of this algebra and show that it is isomorphic to the space of differential forms. This is a generalization of a result obtained by Alain Connes in the framework of smooth manifolds.

    Original languageEnglish
    Pages (from-to)195-213
    Number of pages19
    JournalCommunications in Mathematical Physics
    Volume250
    Issue number1
    DOIs
    Publication statusPublished - Sept 2004

    Keywords

    • K-THEORY
    • EXCISION

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