On Transitive Algebras Containing a Standard Finite von Neumann Subalgebra
| dc.creator | Fang, Junsheng | |
| dc.creator | Hadwin, Don | |
| dc.creator | Ravichandran, Mohan | |
| dc.date | 2006-11-09 | |
| dc.date | 2007-07-28 | |
| dc.date.accessioned | 2026-07-07T08:20:49Z | |
| dc.date.available | 2026-07-07T08:20:49Z | |
| dc.description | Let $\M$ be a finite von Neumann algebra acting on a Hilbert space $\H$ and $Å$ be a transitive algebra containing $\M'$. In this paper we prove that if $Å$ is 2-fold transitive, then $Å$ is strongly dense in $\B(\H)$. This implies that if a transitive algebra containing a standard finite von Neumann algebra (in the sense of [Ha1]) is 2-fold transitive, then $Å$ is strongly dense in $\B(\H)$. Non-selfadjoint algebras related to free products of finite von Neumann algebras, e.g., $Ł{\mathbb{F}_n}$ and $(M_2(\cc), {1/2}Tr)*(M_2(\cc), {1/2}Tr)$, are studied. Brown measures of certain operators in $(M_2(\cc), {1/2}Tr)*(M_2(\cc), {1/2}Tr)$ are explicitly computed. | |
| dc.description | 24 pages, to appear on Journal of Functional Analysis | |
| dc.identifier | https://arxiv.org/abs/math/0611290 | |
| dc.identifier | http://arxiv.org/abs/math/0611290 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/135178 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L54, 47C15 | |
| dc.title | On Transitive Algebras Containing a Standard Finite von Neumann Subalgebra | |
| dc.type | text |