On subdiagonal algebras for subfactors
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- by Wojciech Szymański PDF
- Proc. Amer. Math. Soc. 128 (2000), 789-791 Request permission
Abstract:
We show that if $N\subseteq M$ are type $II_{1}$ factors with finite index (and common identity) and $E:M\rightarrow N$ is the trace preserving conditional expectation, then there are no subdiagonal algebras in $M$ with respect to $E$ unless $M=N$.References
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Additional Information
- Wojciech Szymański
- Affiliation: Department of Mathematics, The University of Newcastle, Newcastle, New South Wales 2308, Australia
- Email: wojciech@frey.newcastle.edu.au
- Received by editor(s): April 22, 1998
- Published electronically: July 6, 1999
- Communicated by: David R. Larson
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 789-791
- MSC (1991): Primary 46K50, 46L37
- DOI: https://doi.org/10.1090/S0002-9939-99-05260-0
- MathSciNet review: 1654092