Abelian self-commutators in finite factors

Details Abelian self-commutators in finite factors Abelian self-commutators in finite factors

2004-08-31

arxiv.org/abs/math/0408435v3

Mathematics

Operator Algebras

12 pages, AMSLaTeX

Scientific paper

An abelian self-commutator in a C*-algebra $\mathcal{A}$ is an element $A$ that can be written as $A=X^*X-XX^*$, with $X\in\mathcal{A}$ such that $X^*X$ and $XX^*$ commute. It is shown that, given a finite AW*-factor $\mathcal{A}$, there exists another finite AW*-factor $\mathcal{M}$ of same type as $\mathcal{A}$, that contains $\mathcal{A}$ as an AW*-subfactor, such that any self-adjoint element $X\in\mathcal{M}$ of quasitrace zero is an abelian self-commutator in $\mathcal{M}$.

Affiliated with

Also associated with

No associations

Rating

Abelian self-commutators in finite factors does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Abelian self-commutators in finite factors, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Abelian self-commutators in finite factors will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-689592