On single commutators in II _ { 1 } \_{1} factors Academic Article

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.

authors

• Dykema, Kenneth

published proceedings

• Proceedings of the American Mathematical Society

author list (cited authors)

• Dykema, K., & Skripka, A.

citation count

• 9

complete list of authors

• Dykema, Ken||Skripka, Anna

publication date

• March 2012

publisher

• American Mathematical Society (AMS)  Publisher

published in

• Proceedings of the American Mathematical Society  Journal

keywords

• 49 Mathematical Sciences
• 4904 Pure Mathematics

Digital Object Identifier (DOI)

• 10.1090/s0002-9939-2011-10953-5

start page

• 931

end page

• 940

volume

• 140

issue

• 3