The local index formula in semifinite von Neumann algebras II: The even case

Alan L. Carey, John Phillips*, Adam Rennie, Fyodor A. Sukochev

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    55 Citations (Scopus)

    Abstract

    We generalise the even local index formula of Connes and Moscovici to the case of spectral triples for a*-subalgebra A of a general semifinite von Neumann algebra. The proof is a variant of that for the odd case which appears in Part I. To allow for algebras with a non-trivial centre we have to establish a theory of unbounded Fredholm operators in a general semifinite von Neumann algebra and in particular prove a generalised McKean-Singer formula.

    Original languageEnglish
    Pages (from-to)517-554
    Number of pages38
    JournalAdvances in Mathematics
    Volume202
    Issue number2
    DOIs
    Publication statusPublished - 1 Jun 2006

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