Automorphisms of subfactors from commuting squares

Author:
Anne Louise Svendsen

Translated by:

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

Published electronically:
January 21, 2004

MathSciNet review:
2048528

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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 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.

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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

DOI:
https://doi.org/10.1090/S0002-9947-04-03447-6

Received by editor(s):
December 9, 2002

Received by editor(s) in revised form:
June 2, 2003

Published electronically:
January 21, 2004

Article copyright:
© Copyright 2004
American Mathematical Society