On some subfactors of integer index arising from vertex models

Journal of Functional Analysis

Volumn 140, Issue 2, 1996, Pages 449-471

  Krishnan, Uma ^a   Sunder, V S ^a   Varughese, Cherian ^a  

^a INDIAN STATISTICAL INSTITUTE   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030587378     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1006/jfan.1996.0114     Document Type: Article

References (14)

1. 1, Acta Sci. Math. (Szeged) 39 (1977), 39-66.
2. [GHJ] F. Goodman, P. de la Harpe, and V. F. R. Jones, Coxeter graphs and towers of algebras, "MSRI Publ.," Vol. 14, Springer-Verlag, New York, 1989.
3. 1 factor, preprint.
4. [K] Y. Kawahigashi, On flatness of Ocneanu's connection, on the Dynkin diagrams, and classification of subfactors, J. Funct. Anal. 127 (1995), 63-107.
5. [O] A. Ocneanu, Quantized groups, string algebras and Galois theory for algebras, in "Operator Algebras and Appl., Vol. 2, (Warwick 1987)," London Math. Soc. Lecture Notes Ser., Vol. 136, Cambridge Univ. Press, Cambridge, UK, 1988.
6. [OK] A. Ocneanu (Lecture Notes written by Y. Kawahigashi), Quantum symmetry, differential geometry of finite graphs, and classification of subfactors, Univ. of Tokyo Seminary Notes, 1990.
7. [P] S. Popa, Maximal injective subalgebras in factors associated with free groups, Adv. Math. 50 (1983), 27-48.
8. [P1] S. Popa, Orthogonal pairs of subalgebras in finite von Neumann algebras, J. Operator Theory 9 (1983), 253-268.
9. [P2] S. Popa, Relative dimension, towers of projections and commuting squares of subfactors, Pac. J. Math. 137 (1989).
10. [P3] S. Popa, Sur la classification des sous-facteurs d'indice fini du facteur hyperfini, C. R. Acad. Sci. Paris Série I 311 (1990), 95-100.
11. [P4] S. Popa, Classification of amenable subfactors of type II, Acta Math. 172 (1994), 352-445.
12. [PP] S. Popa and M. Pimser, Entropy and index for subfactors, Ann. Sci. Ec. Norm. Sup. (Paris) Ser. 4 19 (1986), 57-106.
13. [S1] V. S. Sunder, A model for AF algebras and a representation of the Jones projections, J. Operator Theory 18 (1987), 289-301.
14. [S2] V. S. Sunder, On commuting squares and subfactors, J. Functional Anal. 101 (1991), 286-311.