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On subdiagonal algebras for subfactors

Author(s): Wojciech Szymanski
Journal: Proc. Amer. Math. Soc. 128 (2000), 789-791.
MSC (1991): Primary 46K50, 46L37
Posted: July 6, 1999
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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 with respect to unless .

References:

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5.: K.-S. Saito and Y. Watatani, Subdiagonal algebras for subfactors II (finite dimensional case), Canad. Math. Bull. 40 (1997), 254-256. MR 98k:46103


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