Title

On Single Commutators In Ii1-Factors

Keywords

Commutators; II1-factors

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. © 2011 American Mathematical Society.

Publication Date

1-1-2012

Publication Title

Proceedings of the American Mathematical Society

Volume

140

Issue

3

Number of Pages

931-940

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1090/S0002-9939-2011-10953-5

Socpus ID

82255186705 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/82255186705

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