Group-type subfactors and Hadamard matrices
| dc.creator | Burstein, Richard D. | |
| dc.date | 2008-11-08 | |
| dc.date.accessioned | 2026-07-07T10:17:04Z | |
| dc.date.available | 2026-07-07T10:17:04Z | |
| dc.description | A hyperfinite $II_1$ subfactor may be obtained from a symmetric commuting square via iteration of the basic construction. For certain commuting squares constructed from Hadamard matrices, we describe this subfactor as a group-type inclusion $R^H \subset R \rtimes K$, where $H$ and $K$ are finite groups with outer actions on the hyperfinite $II_1$ factor $R$. We find the group of outer automorphisms generated by $H$ and $K$, and use the method of Bisch and Haagerup to determine the principal and dual principal graphs. In some cases a complete classification is obtained by examining the element of $H^3(H \ast K / Int R)$ associated with the action. | |
| dc.description | 51 pages | |
| dc.identifier | https://arxiv.org/abs/0811.1265 | |
| dc.identifier | http://arxiv.org/abs/0811.1265 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/173726 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L37 | |
| dc.title | Group-type subfactors and Hadamard matrices | |
| dc.type | text |