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New subfactors from braid group representations


Author: Juliana Erlijman
Journal: Trans. Amer. Math. Soc. 350 (1998), 185-211
MSC (1991): Primary 46L37
DOI: https://doi.org/10.1090/S0002-9947-98-02007-8
MathSciNet review: 1443192
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Abstract: This paper is about the construction of new examples of pairs of subfactors of the hyperfinite II$_{1}$ factor, and the computation of their indices and relative commutants. The construction is done in general by considering unitary braid representations with certain properties that are satisfied in natural examples. We compute the indices explicitly for the particular cases in which the braid representations are obtained in connection with representation theory of Lie algebras of types A,B,C,D.


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Additional Information

Juliana Erlijman
Affiliation: The Fields Institute, 222 College St., Toronto, Ontario M5T 3J1, Canada
Email: jerlijma@fields.utoronto.ca

DOI: https://doi.org/10.1090/S0002-9947-98-02007-8
Received by editor(s): January 24, 1996
Article copyright: © Copyright 1998 American Mathematical Society

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