Hochschild- and Cyclic-Homology of LCNT-spaces

Christian Oliver Ewald

    Research output: Contribution to journalArticlepeer-review

    2 Citations (Scopus)


    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
    Issue number1
    Publication statusPublished - Sept 2004


    • K-THEORY


    Dive into the research topics of 'Hochschild- and Cyclic-Homology of LCNT-spaces'. Together they form a unique fingerprint.

    Cite this