On continuity of the index of subfactors of a finite factor
โ Scribed by Bahman Mashhood; Keith F Taylor
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 462 KB
- Volume
- 76
- Category
- Article
- ISSN
- 0022-1236
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๐ SIMILAR VOLUMES
A simple numerical argument is given that the minimal (Jones) index of a subfactor \(N \subset M\) is strongly restricted if for \(L \subset N\) with the same index, the subfactor \(L \subset M\) contains a sector with index from the Jones series \(4 \cos ^{2} \pi / m\). E.g.. \(N \subset M\) might
We characterize finite index depth 2 inclusions of type II 1 factors in terms of actions of weak Kac algebras and weak C\*-Hopf algebras. If N/M/M 1 / M 2 / } } } is the Jones tower constructed from such an inclusion N/M, then B= M$ & M 2 has a natural structure of a weak C\*-Hopf algebra and there
This paper is devoted to the study of subfactors arising out of commuting squares constructed out of the simplest possible vertex models. After setting up the necessary general background, we start with two classes of commuting squares and compute the principal graphs of the resulting subfactors, on