Timeline for Possible values of the index for subfactor inclusions coming from conformal nets
Current License: CC BY-SA 2.5
8 events
| when toggle format | what | by | license | comment | |
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
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| Dec 28, 2011 at 17:31 | answer | added | Bahman Mashood | timeline score: 0 | |
| Aug 19, 2011 at 5:54 | answer | added | Bahman | timeline score: 0 | |
| May 31, 2011 at 22:08 | comment | added | Noah Snyder | Andre's right that in the case of rational nets you get number theoretic obstructions. In addition to cyclotomicity (which gives good gaps arxiv.org/abs/1004.0665) you also get some strong "d-number" obstructions (see arxiv.org/abs/0810.3242 and remember that nets are always braided so you get to use the stronger results in that paper). | |
| May 31, 2011 at 22:04 | answer | added | Noah Snyder | timeline score: 7 | |
| May 31, 2011 at 16:32 | answer | added | Bahman Mashood | timeline score: 1 | |
| Jan 19, 2011 at 12:48 | comment | added | André Henriques | Probably a hard question... I would bet that, in the case of acompletely rational conformal net, the statistical dimension of a representation is always a cyclotomic integer (and hence, the index would always be the square of a cyclotomic integer). For conformal nets that are not completely rational, I have no idea what to expect. | |
| Jan 19, 2011 at 10:19 | history | asked | Marcel Bischoff | CC BY-SA 2.5 |