The planar algebra of diagonal subfactors
| dc.creator | Bisch, Dietmar | |
| dc.creator | Das, Paramita | |
| dc.creator | Ghosh, Shamindra Kumar | |
| dc.date | 2008-11-07 | |
| dc.date | 2008-12-29 | |
| dc.date.accessioned | 2026-07-07T12:22:15Z | |
| dc.date.available | 2026-07-07T12:22:15Z | |
| dc.description | There is a natural construction which associates to a finitely generated, countable, discrete group $G$ and a 3-cocycle $ω$ of $G$ an inclusion of II$_1$ factors, the so-called diagonal subfactors (with cocycle). In the case when the cocycle is trivial these subfactors are well studied and their standard invariant (or planar algebra) is known. We give a description of the planar algebra of these subfactors when a cocycle is present. The action of Jones' planar operad involves the 3-cocycle $ω$ explicitly and some interesting identities for 3-cocycles appear when naturality of the action is verified. | |
| dc.description | 21 pages, 7 figures | |
| dc.identifier | https://arxiv.org/abs/0811.1084 | |
| dc.identifier | http://arxiv.org/abs/0811.1084 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/213586 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L37 | |
| dc.title | The planar algebra of diagonal subfactors | |
| dc.type | text |