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 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