An estimate of the depth from an intermediate subfactor
Jerzy Wierzbicki
Source: Publ. Res. Inst. Math. Sci. Volume 30, Number 6 (1994), 1139-1144.
Primary Subjects: 46L37
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.prims/1195164950
Mathematical Reviews number (MathSciNet):
MR1322948
Zentralblatt MATH identifier:
0831.46070
Digital Object Identifier: doi:10.2977/prims/1195164950
References
[B] Bisch, D., A note on intermediate subfactors, to appear in Pac. J. Math.
Mathematical Reviews (MathSciNet):
MR1262294
Zentralblatt MATH:
0814.46053
[GHJ] Goodman, F., de la Harpe, P. and Jones, V. F. R., Coxeter Graphs and Towers of Algebras, MSRI Publ., 14, Springer-Verlag, New York, 1989.
Mathematical Reviews (MathSciNet):
MR999799
Zentralblatt MATH:
0698.46050
[J1] Jones, V. F. R, Index for subfactors, Invent. Math., 72 (1983), 1-25.
Mathematical Reviews (MathSciNet):
MR696688
Zentralblatt MATH:
0508.46040
[K] Kawahigashi, Y., Classification of paragroup actions on subfactors, Preprint.
Zentralblatt MATH:
0837.46046
[O] Ocneanu, A., Quantum symmetry, differential geometry offinitegraphs and classification of subfactors, Tokyo University Seminary Notes, 45 (1991).
[P1] Popa, S., Classfication of amenable subfactors of type II, to appear in Acta Math.
Mathematical Reviews (MathSciNet):
MR1278111
Zentralblatt MATH:
0853.46059
[P2] Popa, S., Maximal injective subalgebras in factors associated with free groups, Adv. Math., 50 (1983), 27-48.
Mathematical Reviews (MathSciNet):
MR720738
Zentralblatt MATH:
0545.46041
[P3] Popa, S., Classification of subfactors: the reduction to commuting square, Invent. Math., 101 (1990), 19-43.
Mathematical Reviews (MathSciNet):
MR1055708
Zentralblatt MATH:
0757.46054
[PP1] Pimsner, M. and Popa, S., Entropy and index for subfactors, Ann. Sci. Ec. Norm. Sup., 19 (1986), 57-106.
Mathematical Reviews (MathSciNet):
MR860811
Zentralblatt MATH:
0646.46057
[pp2] Pimsner, M. and Popa, Iterating thebasic construction, Trans. Am. Math. Soc., 310 (1988), 127-133.
Mathematical Reviews (MathSciNet):
MR965748
Zentralblatt MATH:
0706.46047
[S] Sano, T., Commuting co-commuting squares and finite dimensional Kac algebras, Preprint (1993).
Mathematical Reviews (MathSciNet):
MR1379296
Zentralblatt MATH:
0851.46046
[SW] Sano, T. and Watatani, Y., Angles between two subfactors, to appear in J. Operator Theory.
Mathematical Reviews (MathSciNet):
MR1338739
Zentralblatt MATH:
0838.46052
[SZ] Stratila, S. and Zsido, L., Lectures on von Neumann Algebras, Abacus Press/ Ed. Academiei, Tunbridge Wells/ Bucuresti, 1979.
Mathematical Reviews (MathSciNet):
MR526399
Zentralblatt MATH:
0391.46048
[T] Takesaki, M., Theory of Operator Algebra I, Springer, Berlin, 1979.
Mathematical Reviews (MathSciNet):
MR548728
[WW] Wierzbicki, J. and Watatani, Y., Commuting squares and relative entropy for two subfactors, Preprint (1992).
Mathematical Reviews (MathSciNet):
MR1354034
Zentralblatt MATH:
0899.46051
Publications of the Research Institute for Mathematical Sciences
