Title

ON SINGLE COMMUTATORS IN II1-FACTORS

Authors

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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