Transactions of the American Mathematical Society

Author(s): Anne Louise Svendsen
Journal: Trans. Amer. Math. Soc. 356 (2004), 2515-2543.
MSC (2000): Primary 46L37, 46L40
Posted: January 21, 2004
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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.

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