Classification of Noncommuting Quadrilaterals of Factors
| dc.creator | Grossman, Pinhas | |
| dc.creator | Izumi, Masaki | |
| dc.date | 2007-04-09 | |
| dc.date | 2007-04-27 | |
| dc.date.accessioned | 2026-07-07T07:58:18Z | |
| dc.date.available | 2026-07-07T07:58:18Z | |
| dc.description | A quadrilateral of factors is an irreducible inclusion of factors $N \subset M$ with intermediate subfactors $P$ and $Q$ such that $P$ and $Q$ generate $M$ and the intersection of $P$ and $Q$ is $N$. We investigate the structure of a non-commuting quadrilateral of factors with all the elementary inclusions $P\subset M$, $Q\subset M$, $N\subset P$, and $N\subset Q$ 2-supertransitive. In particular we classify such quadrilaterals with the indices of the elementary subfactors less than or equal to 4. We also compute the angles between $P$ and $Q$ for quadrilaterals coming from $α$-induction and asymptotic inclusions. | |
| dc.description | 80 pages, 147 figures, to appear in International Journal of Mathematics | |
| dc.identifier | https://arxiv.org/abs/0704.1121 | |
| dc.identifier | http://arxiv.org/abs/0704.1121 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/127959 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L37 | |
| dc.title | Classification of Noncommuting Quadrilaterals of Factors | |
| dc.type | text |