Intermediate Subfactors with No Extra Structure
| dc.creator | Grossman, Pinhas | |
| dc.creator | Jones, Vaughan F. R. | |
| dc.date | 2004-12-21 | |
| dc.date | 2005-02-14 | |
| dc.date.accessioned | 2026-07-07T05:15:32Z | |
| dc.date.available | 2026-07-07T05:15:32Z | |
| dc.description | If $N \subset P,Q \subset M$ are type II_1 factors with $N' \cap M = C id$ and $[M:N]$ finite we show that restrictions on the standard invariants of the elementary inclusions $N \subset P$, $N \subset Q$, $P \subset M$ and $Q \subset M$ imply drastic restrictions on the indices and angles between the subfactors. In particular we show that if these standard invariants are trivial and the conditional expectations onto $P$ and $Q$ do not commute, then $[M:N]$ is 6 or $6 + 4\sqrt 2$. In the former case $N$ is the fixed point algebra for an outer action of $S_3$ on $M$ and the angle is $π/3$, and in the latter case the angle is $cos^{-1}(\sqrt 2-1)$ and an example may be found in the GHJ subfactor family. The techniques of proof rely heavily on planar algebras. | |
| dc.description | 51 pages, 65 figures | |
| dc.identifier | https://arxiv.org/abs/math/0412423 | |
| dc.identifier | http://arxiv.org/abs/math/0412423 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73662 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L37 | |
| dc.title | Intermediate Subfactors with No Extra Structure | |
| dc.type | text |