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Simple and rigid injective subfactors

1987
19 pages
Published in:
  • Adv.Math. 63 (1987) 152-171
DOI:
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Note:
  • Also in proceedings C* Algebras, MSRI, Berkeley, 1985
  • [1]

    Some properties of modular conjugation operator of von Neumann algebra and a non-commutative Radon-Nikodym theorem with a chain rule

    • H. Araki
      • Pacific J.Math. 50 (1974) 309
  • [2]

    Caractérisation des espaces vectoriales ordonnées soujacents aux algèbres de von Neumann

    • A. Connes
      • Annales Inst.Fourier 24 (1974) 121
  • [3]

    Classification des facteurs

    • A. Connes
      • Proc.Symp.Pure Math. 38 (1982) 43
  • [4]

    Classification of injective factors

    • A. Connes
      • Annals Math. 104 (1976) 73
  • [5]

    Extension of the inner automorphism group of a factor

    • M. Choda
      • Publ.Res.Inst.Math.Sci.Kyoto 14 (1978) 731
  • [7]

    Interpolation by type I factors and the flip automorphism

    • C. D'Antoni
      ,
    • R. Longo
      • J.Functional Anal. 51 (1983) 361
  • [8]

    Vecteurs totalisateurs d'une algèbre de von Neumann

    • J. Dixmier
      ,
    • O. Marechal
      • Commun.Math.Phys. 22 (1971) 44
  • [12]

    The standard form of a von Neumann algebra

    • U. Haagerup
      • Math.Scand. 37 (1975) 271
  • [13]
    Connes bicentralizer problem and the uniqueness of the injective factor of type III 1, Acta Math. (in press)
    • U. Haagerup
    • [14]

      Problems on von Neumann algebras

      • R.V Kadison
    • [15]

      Derivations of operator algebras

      • R.V Kadison
        • Annals Math. 83 (1966) 280
    • [16]

      Cohomology of operator algebras

      • R.V Kadison
        ,
      • J.R Ringrose
        • Acta Math. 126 (1971) 227
    • [16]
        • Ark.Math. 9 (1971) 55
    • [17]

      A generalization of the free action

      • R.R Kallman
        • Duke Math.J. 36 (1969) 781
    • [18]

      Connection of the dual space of a group with the structure of its closed subgroups

      • D. Kazhdan
        • Funct.Anal.Appl. 1 (1967) 63
    • [19]

      Solution of the factorial Stone-Weierstrass conjecture

      • R. Longo
        • An application of the theory of standard split W ∗-inclusions 76 (1984) 145
    • [20]

      Algebraic and modular structure of von Neumann algebrás of physics

      • R. Longo
        • Proc.Symp.Pure Math. 38 (1982) 551
    • [21]

      Discrete groups of motions of manifolds of non-positive curvature

      • G.A Margulis
        • Am.Math.Soc.Transl. 109 (1977) 33
    • [22]

      Ergodic theory and von Neumann algebras

      • C.C Moore
        • Proc.Symp.Pure Math. 38 (1982) 179
    • [23]

      On a problem of R. V. Kadison on maximal abelian ∗-subalgebras in factors

      • S. Popa
        • Invent.Math. 65 (1981) 269
    • [24]

      Cross products of von Neumann algebras by group duals

      • J.E Roberts
        • Symp.Math. 20 (1976) 335
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