“BibliographyForOperatorAlgebrasInMathematicalPhysicsAndAQFTAToK”的概念、定义、习题解题方法及翻译-数学辞典

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14 Bakalov, B. and Kirillov, A. Jr. (2001). Lectures on tensor categories and modular functors.University Lecture Series 21, Amer. Math. Soc.

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18 Banica, T. (1999). Fusion rules for representations of compact quantum groups.Expositiones Mathematicae, 17, 313–337.

19 Banica, T. (1999). Symmetries of a generic coaction. Mathematische Annalen, 314, 763–780.

20 Banica, T. (2000). Compact Kac algebras and commuting squares.Journal of Functional Analysis, 176, 80–99.

21 Banica, T. (2001). Subfactors associated to compact Kac algebras.Integral Equations Operator Theory, 39, 1–14.

22 Banica, T. (2002). Quantum groups and Fuss-Catalan algebras.Communications in Mathematical Physics, 226, 221–232

23 Banica, T. (2005). The planar algebra of a coaction. Journal of Operator Theory 53, 119–158.

24 Banica, T. (2005). Quantum automorphism groups of homogeneous graphs.Journal of Functional Analysis, 224, 243–280.

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28 Baxter, R. J. (1988). The superintegrable chiral Potts model. Physics Letters A, 133, 185–189.

29 Baxter, R. J. (1989). A simple solvable

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30 Baxter, R. J. (1989). Superintegrable Chiral Potts model: thermodynamicproperties, an “inverse” model, and a simple associated Hamiltonian. Journal of StatisticalPhysics, 57, 1–39.

31 Baxter, R. J., Kelland, S. B. and Wu, F. Y. (1976). Potts model or Whitney Polynomial.Journal of Physics. A. Mathematical and General,9, 397–406.

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33 Baxter, R. J., Temperley, H. N. V. and Ashley, S. E. (1978).Triangular Potts model and its transition temperature and related models.Proceedings of the Royal Society of London A,358, 535–559.

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43 Bisch, D. (1992). Entropy of groups and subfactors.Journal of Functional Analysis, 103,190–208.

44 Bisch, D. (1994). A note on intermediate subfactors.Pacific Journal of Mathematics, 163,201–216.

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46 Bisch, D. (1994).Central sequences in subfactors II.Proceedings of the American Mathematical Society,121, 725–731.

47 Bisch, D. (1994).An example of an irreducible subfactor of the hyperfiniteII

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48 Bisch, D. (1997).Bimodules, higher relative commutants and the fusion algebraassociated to a subfactor.In Operator algebras and their applications.Fields Institute Communications,Vol. 13, American Math. Soc., 13–63.

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50 Bisch, D. (2002).Subfactors and planar algebras.Proc. ICM-2002, Beijing, 2, 775–786.

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61 Böckenhauer, J. and Evans, D. E. (1999).Modular invariants, graphs and

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63 Böckenhauer, J. and Evans, D. E. (2002).Modular invariants from subfactors.in Quantum Symmetries in Theoretical Physics and Mathematics(ed. R. Coquereaux et al.),Comtemp. Math. 294, Amer. Math. Soc., 95–131.math.OA/0006114.

64 Böckenhauer, J. and Evans, D. E. (2001).Modular invariants and subfactors.in Mathematical Physics in Mathematics and Physics (ed. R. Longo),The Fields Institute Communications 30, Providence, Rhode Island:AMS Publications, 11–37.math.OA/0008056.

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66 Böckenhauer, J., Evans, D. E. and Kawahigashi, Y. (2000).Chiral structure of modular invariants for subfactors.Communications in Mathematical Physics, 210, 733–784.math.OA/9907149.

67 Böckenhauer, J., Evans, D. E. and Kawahigashi, Y. (2001).Longo-Rehren subfactors arising from

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69 Bongaarts, P. J. M. (1970).The electron-positron field, coupled to externalelectromagnetic potentials as an elementary

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70 Bratteli, O. (1972).Inductive limits of finite dimensional

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71 Brunetti, R., Guido, D. and Longo, R. (1993).Modular structure and duality in conformalquantum field theory.Communications in Mathematical Physics, 156, 201–219.

72 Brunetti, R., Guido, D. and Longo, R. (1995).Group cohomology, modular theory and space-time symmetries.Reviews in Mathematical Physics, 7 57–71.

73 Buchholz, D., Doplicher, S., Longo, R. and Roberts, J. E. (1993).Extensions of automorphisms and gauge symmetries.Communications in Mathematical Physics,155, 123–134.

74 Buchholz, D., Mack, G. and Todorov, I. (1988).The current algebra on the circle as a germ of local field theories.Nuclear Physics B (Proc. Suppl.), B5, 20–56.

75 Buchholz, D. and Schulz-Mirbach, H. (1990).Haag duality in conformal quantum field theoery,Reviews in Mathematical Physics, 2 105–125.

76 Camp, W., and Nicoara, R. (preprint 2007).Subfactors and Hadamard matrices.arXiv:0704.1128.

77 Cappelli, A., Itzykson, C. and Zuber, J.-B. (1987).The

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79 Carpi, S. (2003).The Virasoro algebra and sectors with infinite statistical dimension.Annales Henri Poincaré, 4, 601–611.math.OA/0203027.

80 Carpi, S. (2004).On the representation theory of Virasoro nets.Communications in Mathematical Physics, 244, 261–284.math.OA/0306425.

81 Carpi, S. (2005).Intersecting Jones projections.International Journal of Mathematics, 16, 687–691.math.OA/0412457.

82 Carpi, S. and Conti, R. (2001).Classification of subsystems for local nets with trivialsuperselection structure.Communications in Mathematical Physics, 217, 89–106.

83 Carpi, S. and Conti, R. (2005).Classification of subsystems for graded-local nets with trivialsuperselection structure.Communications in Mathematical Physics.253, 423–449.math.OA/0312033.

84 Carpi, S., Kawahigashi, Y. and Longo, R. (in press).Structure and classification of superconformal nets.Annales Henri Poincaré.arXiv:0705.3609.

85 Carpi, S. and Weiner, M. (2005).On the uniqueness of diffeomorphism symmetry in Conformal Field Theory.Communications in Mathematical Physics,258, 203–221.math.OA/0407190.

86 Ceccherini, T. (1996).Approximately inner and centrally free commuting squaresof type

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87 Chen, J. (1993).The Connes invariant

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88 Choda, M. (1989).Index for factors generated by Jones’ two sidedsequence of projections.Pacific Journal of Mathematics, 139, 1–16.

89 Choda, M. (1991).Entropy for

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90 Choda, M. (1992).Entropy for canonical shift.Transactions of the American Mathematical Society,334, 827–849.

91 Choda, M. (1993).Duality for finite bipartite graphs(with applications to II

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92 Choda, M. (1994).Square roots of the canonical shifts.Journal of Operator Theory, 31, 145–163.

93 Choda, M. (1994).Extension algebras via

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94 Choda, M. and Hiai, F. (1991).Entropy for canonical shifts. II.Publications of the RIMS, Kyoto University,27, 461–489.

95 Choda, M. and Kosaki, H. (1994).Strongly outer actions for an inclusion of factors.Journal of Functional Analysis, 122,315–332.

96 Christensen, E. (1979).Subalgebras of a finite algebra.Mathematische Annalen, 243, 17–29.

97 Combes, F. (1968).Poids sur une

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98 Connes, A. (1973).Une classification des facteurs de type III.Annales Scientifiques de l’École Normale Supérieure,6, 133–252.

99 Connes, A. (1975).Outer conjugacy classes of automorphisms of factors.Annales Scientifiques de l’École Normale Supérieure,8, 383–419.

100 Connes, A. (1975).Hyperfinite factors of type III-0 and Krieger’s factors.Journal of Functional Analysis,18, 318–327.

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102 Connes, A. (1975).A factor not antiisomorphic to itself.Annals of Mathematics, 101, 536–554.

103 Connes, A. (1976).Classification of injective factors.Annals of Mathematics,104, 73–115.

104 Connes, A. (1976).Outer conjugacy of automorphisms of factors.Symposia Mathematica, XX, 149–160.

105 Connes, A. (1976).On the classification of von Neumannalgebras and their automorphisms.Symposia Mathematica, XX, 435–478.

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109 Connes, A. (1980).

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110 Connes, A. (1980).Spatial theory of von Neumann algebras.Journal of Functional Analysis, 35(1980), 153–164.

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112 Connes, A. (1982).Foliations and Operator Algebras.Proceedings of Symposia in Pure Mathematics.ed. R. V. Kadison,38, 521–628.

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121 Connes, A. and Krieger, W. (1977).Measure space automorphism groups, the normalizer of theirfull groups, and approximate finiteness.Journal of Functional Analysis, 24, 336–352.

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bibliography for operator algebras in mathematical physics and AQFT-A to K

0.1 Bibliography for Operator Algebras in Mathematical Physics and Algebraic Quantum Field Theories (AQFT):

References