Irreducible subfactors of L(double-struck F sign) of index λ > 4

Dimitri Shlyakhtenko, Yoshimichi Ueda

    Research output: Contribution to journalArticlepeer-review

    3 Citations (Scopus)


    By utilizing an irreducible inclusion of type IIIq2 factors coming from a free-product type action of the quantum group SUq(2), we show that the free group factor L(double-struck F sign) possesses irreducible subfactors of arbitrary index > 4. Combined with earlier results of Radulescu, this shows that L (double-struck F sign) has irreducible subfactors with any index value in {4cos2(π/n): n ≧ 3} ∪ [4, + ∞).

    Original languageEnglish
    Pages (from-to)149-166
    Number of pages18
    JournalJournal fur die Reine und Angewandte Mathematik
    Issue number548
    Publication statusPublished - 2002

    All Science Journal Classification (ASJC) codes

    • General Mathematics
    • Applied Mathematics


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