A finiteness result for commuting squares of matrix algebras
| dc.creator | Nicoara, Remus | |
| dc.date | 2004-04-16 | |
| dc.date.accessioned | 2026-07-07T05:07:29Z | |
| dc.date.available | 2026-07-07T05:07:29Z | |
| dc.description | We consider a condition for non-degenerate commuting squares of matrix algebras (finite dimensional von Neumann algebras) called the \emph{span condition}, which in the case of the $n$-dimensional standard spin models is shown to be satisfied if and only if $n$ is prime. We prove that the commuting squares satisfying the span condition are isolated among all commuting squares (modulo isomorphisms). In particular, they are finiteley many for any fixed dimension. Also, we give a conceptual proof of previous constructions of certain one-parameter families of biunitaries. | |
| dc.identifier | https://arxiv.org/abs/math/0404301 | |
| dc.identifier | http://arxiv.org/abs/math/0404301 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70879 | |
| dc.subject | Operator Algebras | |
| dc.title | A finiteness result for commuting squares of matrix algebras | |
| dc.type | text |