Forked Temperley-Lieb Algebras and Intermediate Subfactors
| dc.creator | Grossman, Pinhas | |
| dc.date | 2006-07-14 | |
| dc.date | 2006-10-11 | |
| dc.date.accessioned | 2026-07-07T07:18:21Z | |
| dc.date.available | 2026-07-07T07:18:21Z | |
| dc.description | We consider noncommuting pairs P,Q of intermediate subfactors of an irreducible, finite-index inclusion N in M of II_1 factors such that P and Q are supertransitive with Jones index less than 4 over N. We show that up to isomorphism of the standard invariant, there is a unique such pair corresponding to each even value [P:N]=4cos^2(pi/2n) but none for the odd values [P:N]=4cos^2 (pi/(2n+1)). We also classify the angle values which occur between pairs of intermediate subfactors with small index over their intersection: if [P:N] < 4, then the unique nontrivial angle value is always cos^-1 (1/([P:N]-1)). | |
| dc.description | 19 pages. Stylistic revisions and reference added to Evans-Gould 1994 in which forked TL algebras appear | |
| dc.identifier | https://arxiv.org/abs/math/0607335 | |
| dc.identifier | http://arxiv.org/abs/math/0607335 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/114271 | |
| dc.subject | Operator Algebras | |
| dc.title | Forked Temperley-Lieb Algebras and Intermediate Subfactors | |
| dc.type | text |