Strong connections and Chern-Connes pairing in the Hopf-Galois theory

Ludwik Dabrowski, Harald Grosse, Piotr M Hajac

    Veröffentlichungen: Beitrag in FachzeitschriftArtikelPeer Reviewed

    Abstract

    We reformulate the concept of connection on a Hopf-Galois extension B ? P in order to apply it in computing the Chern-Connes pairing between the cyclic cohomology HC2n(B) and K0(B). This reformulation allows us to show that a Hopf-Galois extension admitting a strong connection is projective and left faithfully flat. It also enables us to conclude that a strong connection is a Cuntz-Quillen-type bimodule connection. To exemplify the theory, we construct a strong connection (super Dirac monopole) to find out the Chern-Connes pairing for the super line bundles associated to a super Hopf fibration.
    OriginalspracheEnglisch
    Seiten (von - bis)301-331
    Seitenumfang31
    FachzeitschriftCommunications in Mathematical Physics
    Jahrgang220
    Ausgabenummer2
    DOIs
    PublikationsstatusVeröffentlicht - 2001

    ÖFOS 2012

    • 103036 Theoretische Physik

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