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Volumn 140, Issue 2, 1996, Pages 312-334

Lattices of intermediate subfactors

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EID: 0030587204     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1006/jfan.1996.0110     Document Type: Article
Times cited : (34)

References (48)
  • 1
    • 0000100137 scopus 로고
    • A lattice of von Neumann algebras associated with the quantum theory of a free bose field
    • [Ar] H. Araki, A lattice of von Neumann algebras associated with the quantum theory of a free Bose field, J. Math. Phys. 4 (1963), 1343-1362.
    • (1963) J. Math. Phys. , vol.4 , pp. 1343-1362
    • Araki, H.1
  • 4
    • 0001735230 scopus 로고
    • A note on intermediate subfactors
    • [Bis] D. Bisch, A note on intermediate subfactors, Pacific J. Math. 163 (1994), 201-216.
    • (1994) Pacific J. Math. , vol.163 , pp. 201-216
    • Bisch, D.1
  • 5
    • 0011397078 scopus 로고
    • The conjugacy classes of subfactors and the outer conjugacy classes of the automorphism group
    • [Cho] M. Choda, The conjugacy classes of subfactors and the outer conjugacy classes of the automorphism group, Math. Japon. 32 (1987), 379-388.
    • (1987) Math. Japon. , vol.32 , pp. 379-388
    • Choda, M.1
  • 6
    • 0002312102 scopus 로고
    • Subalgebras of a finite algebra
    • [Chr] E. Christensen, Subalgebras of a finite algebra, Math. Ann. 243 (1979), 17-29.
    • (1979) Math. Ann. , vol.243 , pp. 17-29
    • Christensen, E.1
  • 7
    • 0001848471 scopus 로고
    • Fields, observables and gauge transformations I
    • [DHR] S. Doplicher, R. Haag, and J. E. Roberts, Fields, observables and gauge transformations I, Comm. Math. Phys. 13 (1969), 1-23.
    • (1969) Comm. Math. Phys. , vol.13 , pp. 1-23
    • Doplicher, S.1    Haag, R.2    Roberts, J.E.3
  • 8
    • 21844488449 scopus 로고
    • Orbifoldubfactors from Hecke algebras
    • [EK] D. Evans and Y. Kawahigashi, Orbifoldubfactors from Hecke algebras, Comm. Math. Phys. 165 (1994), 445-484.
    • (1994) Comm. Math. Phys. , vol.165 , pp. 445-484
    • Evans, D.1    Kawahigashi, Y.2
  • 10
    • 6144286355 scopus 로고
    • An algebraic approach to quantum field theory
    • [HK] R. Haag and D. Kastler, An algebraic approach to quantum field theory, Comm. Math. Phys. 5 (1964), 848-861.
    • (1964) Comm. Math. Phys. , vol.5 , pp. 848-861
    • Haag, R.1    Kastler, D.2
  • 13
    • 85007973526 scopus 로고
    • Applications of fusion rules to classification of subfactors
    • [I] M. Izumi, Applications of fusion rules to classification of subfactors, Publ. RIMS Kyoto Univ. 27 (1991), 953-994.
    • (1991) Publ. RIMS Kyoto Univ. , vol.27 , pp. 953-994
    • Izumi, M.1
  • 15
    • 0010806038 scopus 로고
    • Index for subfactors
    • [Jo] V. Jones, Index for subfactors, Invent. Math. 72 (1983), 1-15.
    • (1983) Invent. Math. , vol.72 , pp. 1-15
    • Jones, V.1
  • 16
    • 0002000132 scopus 로고
    • On flatness of Ocneau's connections on the Dynkin diagrams and classification of subfactors
    • [Ka] Y. Kawahigashi, On flatness of Ocneau's connections on the Dynkin diagrams and classification of subfactors, J. Funct. Anal. 127 (1995), 63-107.
    • (1995) J. Funct. Anal. , vol.127 , pp. 63-107
    • Kawahigashi, Y.1
  • 17
    • 0003288316 scopus 로고
    • The subgroup structure of the finite classical groups
    • Cambridge Univ. Press, Cambridge, UK
    • [KL] P. Kleidman and M. Liebeck, "The Subgroup Structure of the Finite Classical Groups," London Math. Soc. Lect. Note Ser. 129, Cambridge Univ. Press, Cambridge, UK, 1990.
    • (1990) London Math. Soc. Lect. Note Ser. , vol.129
    • Kleidman, P.1    Liebeck, M.2
  • 18
    • 0000235577 scopus 로고
    • Extension of Jones' theory on index to arbitrary factors
    • [Ko] H. Kosaki, Extension of Jones' theory on index to arbitrary factors, J. Funct. Anal. 66 (1986), 123-140.
    • (1986) J. Funct. Anal. , vol.66 , pp. 123-140
    • Kosaki, H.1
  • 19
    • 0001551345 scopus 로고
    • Irreducible bimodules associated with crossed product algebras
    • [KY] H. Kosaki and S. Yamagami, Irreducible bimodules associated with crossed product algebras, Internat. J. Math. 3 (1992), 661-676.
    • (1992) Internat. J. Math. , vol.3 , pp. 661-676
    • Kosaki, H.1    Yamagami, S.2
  • 20
    • 0011499562 scopus 로고
    • Index of subfactors and statistics of quantum fields I
    • [Lo] R. Longo, Index of subfactors and statistics of quantum fields I, Comm. Math. Phys. 126 (1989), 285-309; Index of subfactors and statistic of quantum fields II, Comm. Math. Phys. 130 (1990), 285-309.
    • (1989) Comm. Math. Phys. , vol.126 , pp. 285-309
    • Longo, R.1
  • 21
    • 51249174399 scopus 로고
    • Index of subfactors and statistic of quantum fields II
    • [Lo] R. Longo, Index of subfactors and statistics of quantum fields I, Comm. Math. Phys. 126 (1989), 285-309; Index of subfactors and statistic of quantum fields II, Comm. Math. Phys. 130 (1990), 285-309.
    • (1990) Comm. Math. Phys. , vol.130 , pp. 285-309
  • 24
    • 0001728425 scopus 로고
    • On rings of operators
    • [MN] F. J. Murray and J. von Neumann, On rings of operators, Ann. Math. 37 (1936), 116-229.
    • (1936) Ann. Math. , vol.37 , pp. 116-229
    • Murray, F.J.1    Von Neumann, J.2
  • 25
    • 0011397924 scopus 로고
    • A Galois theory for finite factors
    • [NT1] M. Nakamura and Z. Takeda, A Galois theory for finite factors, Proc. Jpn. Acad. 36 (1960), 258-260.
    • (1960) Proc. Jpn. Acad. , vol.36 , pp. 258-260
    • Nakamura, M.1    Takeda, Z.2
  • 26
    • 0011452473 scopus 로고
    • On the fundamental theorem of the Galois thory for finite factors
    • [NT2] M. Nakamura and Z. Takeda, On the fundamental theorem of the Galois thory for finite factors, Proc. Jpn. Acad. 36 (1960), 313-318.
    • (1960) Proc. Jpn. Acad. , vol.36 , pp. 313-318
    • Nakamura, M.1    Takeda, Z.2
  • 29
    • 0003312852 scopus 로고
    • Quantum symmetry, differential geometry of finite graphs and classification of subfactors
    • notes recorded by Y. Kawahigashi
    • [O2] A. Ocneanu, "Quantum Symmetry, Differential Geometry of Finite Graphs and Classification of Subfactors," University of Tokyo Seminary Notes 45 (notes recorded by Y. Kawahigashi), 1991.
    • (1991) University of Tokyo Seminary Notes , vol.45
    • Ocneanu, A.1
  • 30
    • 0002710273 scopus 로고
    • Entropy and index for subfactors
    • [PP1] M. Pimsner and S. Popa, Entropy and index for subfactors, Ann. Sci. Ec. Norm. Sup. 19 (1986), 57-106.
    • (1986) Ann. Sci. Ec. Norm. Sup. , vol.19 , pp. 57-106
    • Pimsner, M.1    Popa, S.2
  • 32
    • 0002530655 scopus 로고
    • Classification of subfactors: Reduction to commuting squares
    • [P1] S. Popa, Classification of subfactors: reduction to commuting squares, Invent. Math. 101 (1990), 19-43.
    • (1990) Invent. Math. , vol.101 , pp. 19-43
    • Popa, S.1
  • 33
    • 0003162545 scopus 로고
    • Sur la classification des sousfacteurs d'indice fini du facteur hyperfini
    • [P2] S. Popa, Sur la classification des sousfacteurs d'indice fini du facteur hyperfini, C.R. Acad. Sci. Paris 311 (1990), 95-100.
    • (1990) C.R. Acad. Sci. Paris , vol.311 , pp. 95-100
    • Popa, S.1
  • 34
    • 85029960354 scopus 로고    scopus 로고
    • Correspondence, preprint
    • [P3] S. Popa, Correspondence, preprint.
    • Popa, S.1
  • 35
    • 0002196192 scopus 로고
    • Minimal parabolic geometries for the sporadic groups
    • [RS] M. A. Ronan and G. Stroth, Minimal parabolic geometries for the sporadic groups, Europ. J. Combin. 5 (1984), 59-91.
    • (1984) Europ. J. Combin. , vol.5 , pp. 59-91
    • Ronan, M.A.1    Stroth, G.2
  • 36
    • 0011396978 scopus 로고
    • Automorphisms and tensor products of operator algebras
    • [Sa] S. Sakai, Automorphisms and tensor products of operator algebras, Amer. J. Math. 97 (1975) 889-896.
    • (1975) Amer. J. Math. , vol.97 , pp. 889-896
    • Sakai, S.1
  • 37
    • 0000952157 scopus 로고
    • Angles between two subfactors
    • [SW] T. Sano and Y. Watatani, Angles between two subfactors, J. Operator Theory 32 (1944), 209-241.
    • (1944) J. Operator Theory , vol.32 , pp. 209-241
    • Sano, T.1    Watatani, Y.2
  • 38
    • 0011397080 scopus 로고
    • Finite subalgebras of a von Neumann algebra
    • [Sk] C. Skau, Finite subalgebras of a von Neumann algebra, J. Funct. Anal. 25 (1977), 211-235.
    • (1977) J. Funct. Anal. , vol.25 , pp. 211-235
    • Skau, C.1
  • 39
    • 0003652674 scopus 로고
    • Wadsworth & Brooks/Cole, Bellmont, CA
    • [St] R. Stanley, "Enumerative Combinatorics," Vol. 1, Wadsworth & Brooks/Cole, Bellmont, CA, 1986.
    • (1986) Enumerative Combinatorics , vol.1
    • Stanley, R.1
  • 42
    • 84966215013 scopus 로고
    • A characterization of normal extensions for subfactors
    • [Te] T. Teruya, A characterization of normal extensions for subfactors, Proc. Amer. Math. Soc. 120 (1994), 781-783.
    • (1994) Proc. Amer. Math. Soc. , vol.120 , pp. 781-783
    • Teruya, T.1
  • 43
    • 0000488814 scopus 로고
    • Coactions and Young-Baxter equations for ergodic actions and subfactors
    • London Math Soc., London
    • [Wa] A. Wasserman, "Coactions and Young-Baxter Equations for Ergodic Actions and Subfactors," London Math. Soc. Lect. Note Series, Vol. 136, pp. 203-236. London Math Soc., London, 1988.
    • (1988) London Math. Soc. Lect. Note Series , vol.136 , pp. 203-236
    • Wasserman, A.1
  • 45
    • 34250096712 scopus 로고
    • Hecke algebras of type A and subfactors
    • [Web] H. Wenzl, Hecke algebras of type A and subfactors, Invent. Math. 92 (1988), 345-383.
    • (1988) Invent. Math. , vol.92 , pp. 345-383
    • Wenzl, H.1
  • 46
    • 7244225268 scopus 로고
    • Quantum groups and subfactors of type B, C, and D
    • [We2] H. Wenzl, Quantum groups and subfactors of type B, C, and D, Commun. Math. Phys. 133 (1990), 383-432.
    • (1990) Commun. Math. Phys. , vol.133 , pp. 383-432
    • Wenzl, H.1
  • 47
    • 0011442762 scopus 로고
    • Commuting squares and relative entropy for two subfactors
    • [WW] J. Wierzbicki and Y. Watatani, Commuting squares and relative entropy for two subfactors, J. Funct. Anal. 133 (1995), 329-341.
    • (1995) J. Funct. Anal. , vol.133 , pp. 329-341
    • Wierzbicki, J.1    Watatani, Y.2
  • 48
    • 0011396156 scopus 로고
    • Irreducible subfactors from some symmetric graphs
    • [Yo] H. Yoshida, Irreducible subfactors from some symmetric graphs, Math. Ann. 295 (1993), 589-625.
    • (1993) Math. Ann. , vol.295 , pp. 589-625
    • Yoshida, H.1


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