ON SINGLE COMMUTATORS IN II1-FACTORS

    Authors

    K. Dykema;A. Skripka

    Comments

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    Abbreviated Journal Title

    Proc. Amer. Math. Soc.

    Keywords

    Commutators; II1-factors; VON-NEUMANN-ALGEBRAS; II1; Mathematics, Applied; Mathematics

    Abstract

    We investigate the question of whether all elements of trace zero in a II1-factor are single commutators. We show that all nilpotent elements are single commutators, as are all normal elements of trace zero whose spectral distributions are discrete measures. Some other classes of examples are considered.

    Journal Title

    Proceedings of the American Mathematical Society

    Volume

    140

    Issue/Number

    3

    Publication Date

    1-1-2012

    Document Type

    Article

    Language

    English

    First Page

    931

    Last Page

    940

    WOS Identifier

    WOS:000301763300019

    ISSN

    0002-9939

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