Abstract
AbstractWe generalise the two-sided construction of examples of pairs of subfactors of the hyperfinite II1 factor R in [E1]—which arise by considering unitary braid representations with certain properties—to multisided pairs. We show that the index for the multi-sided pair can be expressed as a power of that for the two-sided pair. This construction can be applied to the natural examples—where the braid representations are obtained in connection with the representation theory of Lie algebras of types A, B, C, D. We also compute the (first) relative commutants.
Publisher
Canadian Mathematical Society
Cited by
4 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Mixed Quantum Double Construction of Subfactors;Tokyo Journal of Mathematics;2017-03-01
2. Quantum Multiple Construction of Subfactors;Canadian Mathematical Bulletin;2008-09-01
3. Subfactors from braided C∗tensor categories;Pacific Journal of Mathematics;2007-06-01
4. Multi-Sided Braid Type Subfactors, II;Canadian Mathematical Bulletin;2003-03-01