The planar algebra of group-type subfactors
| dc.creator | Bisch, Dietmar | |
| dc.creator | Das, Paramita | |
| dc.creator | Ghosh, Shamindra Kumar | |
| dc.date | 2008-07-25 | |
| dc.date | 2009-03-26 | |
| dc.date.accessioned | 2026-07-07T12:56:14Z | |
| dc.date.available | 2026-07-07T12:56:14Z | |
| dc.description | If $G$ is a countable, discrete group generated by two finite subgroups $H$ and $K$ and $P$ is a II$_1$ factor with an outer G-action, one can construct the group-type subfactor $P^H \subset P \rtimes K$ introduced in \cite{BH}. This construction was used in \cite{BH} to obtain numerous examples of infinite depth subfactors whose standard invariant has exotic growth properties. We compute the planar algebra (in the sense of Jones \cite{J2}) of this subfactor and prove that any subfactor with an abstract planar algebra of "group type" arises from such a subfactor. The action of Jones' planar operad is determined explicitly. | |
| dc.description | 25 pages, 18 figures, To appear in JFA, reviewer's suggestions incorporated | |
| dc.identifier | https://arxiv.org/abs/0807.4134 | |
| dc.identifier | http://arxiv.org/abs/0807.4134 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/224515 | |
| dc.subject | Operator Algebras | |
| dc.subject | Quantum Algebra | |
| dc.subject | 46L37 | |
| dc.title | The planar algebra of group-type subfactors | |
| dc.type | text |