On Voiculescu's Semicircular Matrices
| dc.creator | Shen, Junhao | |
| dc.date | 2005-08-17 | |
| dc.date | 2005-10-03 | |
| dc.date.accessioned | 2026-07-07T06:20:30Z | |
| dc.date.available | 2026-07-07T06:20:30Z | |
| dc.description | Assume $\N$ is a von Neumann algebra of type II$_1$ with a tracial state $τ_{\N}$, and $\M$ is the von Neumann algebra of the $n\times n$ matrices over $\N$ with the canonical tracial state $τ_{\M}$. Let $\mathcal D_n$ be the subalgebra of $\M$ consisting of scalar diagonal matrices in $\M$. In this article, we study the properties of semicircular elements in $\M$ that are free from $\mathcal D_n$ with respect to $τ_{\M}$. Then we define a new concept "matricial distance" of two elements in $\M$ and compute the matricial distance between two free semicircular elements in $\M$. | |
| dc.identifier | https://arxiv.org/abs/math/0508306 | |
| dc.identifier | http://arxiv.org/abs/math/0508306 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/95342 | |
| dc.subject | Operator Algebras | |
| dc.title | On Voiculescu's Semicircular Matrices | |
| dc.type | text |