Timeline for Possible values of the index for subfactor inclusions coming from conformal nets
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
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| Sep 29, 2015 at 19:18 | review | Late answers | |||
| Sep 29, 2015 at 22:35 | |||||
| May 31, 2011 at 21:50 | comment | added | Noah Snyder | Popa's article is MR1198815 (Markov traces on universal Jones algebras and subfactors of finite index. Invent. Math. 111 (1993), no. 2, 375–405) and indeed shows that you can get all real numbers above 4 as an index of a nonhyperfinite subfactor. There's been a bunch of subsequent papers on this topic by Popa, Shlyakhtenko, Jones, Guionnet, Walker, that shows that any subfactor planar algebra can be realized using free group subfactors. I think this general approach gives Popa's original example just starting with Temperley-Lieb. But none of this is directly relevant to the case of nets. | |
| May 31, 2011 at 16:32 | history | answered | Bahman Mashood | CC BY-SA 3.0 |