Abelian self-commutators in finite factors
| dc.creator | Nagy, Gabriel | |
| dc.date | 2004-08-31 | |
| dc.date | 2004-09-13 | |
| dc.date.accessioned | 2026-07-07T05:11:41Z | |
| dc.date.available | 2026-07-07T05:11:41Z | |
| dc.description | 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 $\mathcal{M}$. | |
| dc.description | 12 pages, AMSLaTeX | |
| dc.identifier | https://arxiv.org/abs/math/0408435 | |
| dc.identifier | http://arxiv.org/abs/math/0408435 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72327 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L35 | |
| dc.title | Abelian self-commutators in finite factors | |
| dc.type | text |