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Subdiagonal Algebras for Subfactors II (Finite Dimensional Case)

Published online by Cambridge University Press:  20 November 2018

Kichi-Suke Saito  and
Yasuo Watatani
Kichi-Suke Saito
Affiliation:
Department of Mathematics Niigata University Niigata, 950-21 Japan, e-mail: [email protected]
Yasuo Watatani
Affiliation:
Department of Mathematics Niigata University Niigata, 950-21 Japan, e-mail: [email protected]
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Abstract

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We show that finite dimensional subfactors do not have subdiagonal algebras unless the Jones index is one.

Keywords

Primary: 46K5046L37
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 40 , Issue 2 , 01 June 1997 , pp. 254 - 256
Copyright
Copyright © Canadian Mathematical Society 1997

References

[A] Arveson, W. B., Analyticity in operator algebras, Amer. J.Math. 89 (1967), 578–642.Google Scholar
[H] Humphreys, J. E., Introduction to Lie Algebras and Representation Theory, Springer-Verlag, 1972.Google Scholar
[J] Jones, V. F. R., Index for subfactors, Invent. Math. 72 (1983), 1–15.Google Scholar
[LM] Loebl, R. and Muhly, P. S., Analyticity and flows in von Neumann algebras, J. Funct. Anal. 29 (1978), 214–252.Google Scholar
[MMS1] McAsey, M., Muhly, P. S. and Saito, K.-S., Nonselfadjoint crossed products (invariant subspaces and maximality), Trans. Amer.Math. Soc. 248 (1979), 381–409.Google Scholar
[MMS2] McAsey, M., Muhly, P. S. and Saito, K.-S., Nonselfadjoint crossed products II, J. Math. Soc. Japan 33 (1981), 485–495.Google Scholar
[SW] Saito, K.-S. and Watatani, Y., Subdiagonal algebras for subfactors, J. Operator theory 31 (1994), 311–317.Google Scholar