Automorphisms of subfactors from commuting squares
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- by Anne Louise Svendsen PDF
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Abstract:
We study an infinite series of irreducible, hyperfinite subfactors, which are obtained from an initial commuting square by iterating Jones’ basic construction. They were constructed by Haagerup and Schou and have $A_{\infty }$ as principal graphs, which means that their standard invariant is “trivial”. We use certain symmetries of the initial commuting squares to construct explicitly non-trivial outer automorphisms of these subfactors. These automorphisms capture information about the subfactors which is not contained in the standard invariant.References
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Additional Information
- Anne Louise Svendsen
- Affiliation: Department of Mathematics, University of Oslo, P.O. Box 1053, Blindern, N - 0316 Oslo, Norway
- Address at time of publication: Department of Mathematics, University of Copenhagen, Universitetsparken 5, DK-2100 Copenhagen 0, Denmark
- Email: annelsv@math.uio.no, svendsen@math.ku.dk
- Received by editor(s): December 9, 2002
- Received by editor(s) in revised form: June 2, 2003
- Published electronically: January 21, 2004
- © Copyright 2004 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 356 (2004), 2515-2543
- MSC (2000): Primary 46L37, 46L40
- DOI: https://doi.org/10.1090/S0002-9947-04-03447-6
- MathSciNet review: 2048528