Normal intermediate subfactors
| dc.creator | Teruya, Tamotsu | |
| dc.date | 1996-10-16 | |
| dc.date.accessioned | 2026-07-07T09:13:39Z | |
| dc.date.available | 2026-07-07T09:13:39Z | |
| dc.description | Let $N \subset M$ be an irreducible inclusion of type type II$_1$ factors with finite Jones index. We shall introduce the notion of normality for intermediate subfactors of the inclusion $N \subset M$. If the depth of $N \subset M$ is 2, then an intermediate subfactor $K$ for $N \subset M$ is normal in $ N \subset M$ if and only if the depths of $N \subset K$ and $K \subset M$ are both 2. In particular, if $M$ is the crossed product $N \rtimes G$ of a finite group $G$, then $K = N \rtimes H$ is normal in $N \subset M$ if and only if $H$ is a normal subgroup of $G$. | |
| dc.description | 25 pages, amslatex, to appear in J. Math. Soc. Japan | |
| dc.identifier | https://arxiv.org/abs/funct-an/9610002 | |
| dc.identifier | http://arxiv.org/abs/funct-an/9610002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152400 | |
| dc.subject | Functional Analysis | |
| dc.subject | Operator Algebras | |
| dc.title | Normal intermediate subfactors | |
| dc.type | text |