|
|||||
|
|
|
|
|
|
|
|
|
Fusion rules on a
parametrized series of graphs
Marta Asaeda and Uffe Haagerup |
|
Vol. 253 (2011), No. 2, 257–288
|
Abstract |
|
A series of pairs of graphs (Γk,Γ′k), k = 0,1,2,… , has been considered as candidates for dual pairs of principal graphs of subfactors of small Jones index above 4 and it has recently been proved that the pair (Γk,Γ′k) comes from a subfactor if and only if k = 0 or k = 1. We show that nevertheless there exists a unique fusion system compatible with this pair of graphs for all nonnegative integers k. |
Keywords
fusion algebra, operator algebra, subfactor
|
Mathematical Subject Classification 2010
Primary: 46L37
|
Milestones
Received: 5 September 2010
Revised: 8 September 2010
Accepted: 31 March 2011
Published: 21 January 2012
|
Authors |
| Marta Asaeda | |
| Department of Mathematics University of California, Riverside 900 Big Springs Drive Riverside CA 92521 United States |
|
| Uffe Haagerup | |
| Department of Mathematical
Sciences University of Copenhagen Universitetspark 5 2100 Copenhagen Denmark |
|
|
