Exotic subfactors of finite depth with Jones indices (5+sqrt{13})/2 and (5+sqrt{17})/2
Exotic subfactors of finite depth with Jones indices (5+sqrt{13})/2 and (5+sqrt{17})/2
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具有琼斯指数 (5 sqrt{13})/2 和 (5 sqrt{17})/2 的有限深度的奇异子因子
DOI：
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发表时间：
1998
期刊：
影响因子：
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通讯作者：
U. Haagerup
中科院分区：
文献类型：
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作者：
M. Asaeda;U. Haagerup
证明了指数为(5+SQRT{13})/2=4.302的超有限II_1因子的有限深子因子的存在性.和(5+SQRT{17})/2=4.561...前者的存在是由第二个被点名的作者在1993年宣布的，而后者的存在从那时起就一直被猜测。这些是唯一已知的有限深度的子因子，它们不是由经典群、量子群或有理共形场论产生的。
We prove existence of subfactors of finite depth of the hyperfinite II_1 factor with indices (5+sqrt{13})/2= 4.302... and (5+sqrt{17})/2=4.561.... The existence of the former was announced by the second named author in 1993 and that of the latter has been conjectured since then. These are the only known subfactors with finite depth which do not arise from classical groups, quantum groups or rational conformal field theory.