On subfactors arising from asymptotic representations of symmetric groups
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- by Makoto Yamashita PDF
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Abstract:
We consider the infinite symmetric group and its infinite index subgroup given as the stabilizer subgroup of one element under the natural action on a countable set. This inclusion of discrete groups induces a hyperfinite subfactor for each finite factorial representation of the larger group. We compute subfactor invariants of this construction in terms of the Thoma parameter.References
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Additional Information
- Makoto Yamashita
- Affiliation: Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Tokyo, 153-8914, Japan
- Email: makotoy@ms.u-tokyo.ac.jp
- Received by editor(s): November 27, 2009
- Received by editor(s) in revised form: June 15, 2010, July 13, 2010, and November 10, 2010
- Published electronically: May 20, 2011
- Communicated by: Marius Junge
- © Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 140 (2012), 249-261
- MSC (2000): Primary 46L37; Secondary 20C32, 46L55
- DOI: https://doi.org/10.1090/S0002-9939-2011-10991-2
- MathSciNet review: 2833537