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

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.

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