Exotic subfactors of finite depth with Jones indices \((5+\sqrt{13})/2\) and \((5+\sqrt{17})/2\). (English) Zbl 1014.46042

Asaeda, M.; Haagerup, U.

Commun. Math. Phys. 202, No. 1, 1-63 (1999).

The authors prove the existence of subfactors of finite depth of the hyperfinite \(\text{II}_1\) factor with indices \((5+\sqrt{13})/2\) and \((5+ \sqrt {17})/2\). These are the only known subfactors with finite depth which do not arise from classical groups, quantum groups or rational conformal field theory.

Reviewer: Cho-Ho Chu (London)

MSC:

46L37	Subfactors and their classification
81T05	Axiomatic quantum field theory; operator algebras

Keywords:

subfactor; hyperfinite; \(\text{II}_1\) factor; Jones index