Endomorphisms of type II1-factors and Cuntz algebras

Masatoshi Enomoto, Yasuo Watatani

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    1 Citation (Scopus)


    Any unital *-endomorphism of a type II1-factor is implemented by isometries of a Cuntz algebra outside the factor. If the Jones index of the range of the *-endomorphism is an integer and the algebras act on the standard space, the Jones index must agree with the number of the generators of the Cuntz algebra. We also study (outer) conjugacy of *-endomorphisms using Cuntz algebras.

    Original languageEnglish
    Pages (from-to)343-354
    Number of pages12
    JournalJournal of the Australian Mathematical Society
    Issue number3
    Publication statusPublished - Jun 1996

    All Science Journal Classification (ASJC) codes

    • Mathematics(all)


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