Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

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
Published electronically: January 21, 2004
MathSciNet review: 2048528
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 46L37, 46L40

Retrieve articles in all journals with MSC (2000): 46L37, 46L40


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: http://dx.doi.org/10.1090/S0002-9947-04-03447-6
PII: S 0002-9947(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