A characterization of the fullness of continuous cores of type III1 free product factors

Reiji Tomatsu, Yoshimichi Ueda

    Research output: Contribution to journalArticlepeer-review

    5 Citations (Scopus)

    Abstract

    We prove that, for any type III1 free product factor, its continuous core is full if and only if its τ-invariant is the usual topology on the real line. This trivially implies, as a particular case, the same result for free Araki-Woods factors. Moreover, our method shows the same result for full (generalized)Bernoulli crossed product factors of type III1.

    Original languageEnglish
    Pages (from-to)599-610
    Number of pages12
    JournalKyoto Journal of Mathematics
    Volume56
    Issue number3
    DOIs
    Publication statusPublished - Sept 2016

    All Science Journal Classification (ASJC) codes

    • General Mathematics

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