We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.
Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
We show that finite dimensional subfactors do not have subdiagonal algebras unless the Jones index is one.
[A]Arveson, W. B., Analyticity in operator algebras, Amer. J.Math. 89 (1967), 578–642.Google Scholar
[H]
[H]Humphreys, J. E., Introduction to Lie Algebras and Representation Theory, Springer-Verlag, 1972.Google Scholar
[J]
[J]Jones, V. F. R., Index for subfactors, Invent. Math. 72 (1983), 1–15.Google Scholar
[LM]
[LM]Loebl, R. and Muhly, P. S., Analyticity and flows in von Neumann algebras, J. Funct. Anal. 29 (1978), 214–252.Google Scholar
[MMS1]
[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]
[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]
[SW]Saito, K.-S. and Watatani, Y., Subdiagonal algebras for subfactors, J. Operator theory 31 (1994), 311–317.Google Scholar