English

Sums of commutators in ideals and modules of type II factors

Operator Algebras 2007-05-23 v1

Abstract

Let M be a factor of type II_\infty or II_1 having separable predual and let M-bar be the algebra of affiliated \tau-measureable operators. We characterize the commutator space [I,J] for sub-(M,M)-bimodules I and J of M-bar.

Keywords

Cite

@article{arxiv.math/0304319,
  title  = {Sums of commutators in ideals and modules of type II factors},
  author = {K. J. Dykema and N. J. Kalton},
  journal= {arXiv preprint arXiv:math/0304319},
  year   = {2007}
}

Comments

33 pages