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

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

Alphabetical order: letters from A to K

Bibliography

1
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Aoi, H. and Yamanouchi, T. (in press). Construction of a canonical subfactor for an inclusion of factors with a common Cartan subalgebra. Hokkaido Mathematical Journal.
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Asaeda, M. (2007). Galois groups and an obstruction to principal graphs of subfactors. International Journal of Mathematics, 18, 191–202. math.OA/0605318.
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Asaeda, M. and Haagerup, U. (1999). Exotic subfactors of finite depth with Jones indices ${(5+\sqrt{13})}/{2}$ and ${(5+\sqrt{17})}/{2}$. Communications in Mathematical Physics, 202, 1–63.
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Asaeda, M. and Yasuda, S. (preprint 2007). On Haagerup's list of potential principal graphs of subfactors. arXiv:0711.4144.
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Banica, T. (1997). Le groupe quantique compact libre $U(n)$, Communications in Mathematical Physics, 190, 143–172.
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Banica, T. (1998). Hopf algebras and subfactors associated to vertex models. Journal of Functional Analysis, 159, 243–266.
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Banica, T. (1999). Representations of compact quantum groups and subfactors. Journal für die Reine und Angewandte Mathematik, 509, 167–198.
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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.
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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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Banica, T. (2005). Quantum automorphism groups of small metric spaces. Pacific Journal of Mathematics, 219, 27–51.
26
Baxter, R. J. (1981).Rogers–Ramanujan identities in the Hard Hexagon model. Journal of Statistical Physics, 26, 427–452.
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Baxter, R. J. (1988). The superintegrable chiral Potts model. Physics Letters A, 133, 185–189.
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Baxter, R. J. (1989). A simple solvable $Z_4(N)$ Hamiltonian. Physics Letters A, 140, 155–157.
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Baxter, R. J. (1989). Superintegrable Chiral Potts model: thermodynamic properties, an “inverse” model, and a simple associated Hamiltonian. Journal of Statistical Physics, 57, 1–39.
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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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Baxter, R. J., Perk, J. H. H. and Au-Yang, H. (1988). New solutions of the star-triangle relations for the chiral Potts model. Physics Letters A 128, 138–142.
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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.
34
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35
Behrend, R. E., Pearce, P. A., Petkova, V. B. and Zuber, J-B. (2000). Boundary conditions in rational conformal field theories. Nuclear Physics B, 579, 707–773.
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39
Bion-Nadal, J. (1992). Subfactor of the hyperfinite $II_1$ factor with Coxeter graph $E_6$ as invariant. Journal of Operator Theory, 28, 27–50.
40
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41
Birman, J. S. and Wenzl, H. (1989). Braids, link polynomials and a new algebra. Transactions of the American Mathematical Society, 313, 249–273.
42
Bisch, D. (1990). On the existence of central sequences in subfactors. Transactions of the American Mathematical Society, 321, 117–128.
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.
45
Bisch, D. (1994). On the structure of finite depth subfactors. in Algebraic methods in operator theory, (ed. R. Curto and P. E. T. Jörgensen), Birkhäuser, 175–194.
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 hyperfinite II$_1$ factor with rational, non-integer index. Journal für die Reine und Angewandte Mathematik, 455, 21–34.
48
Bisch, D. (1997). Bimodules, higher relative commutants and the fusion algebra associated to a subfactor. In Operator algebras and their applications. Fields Institute Communications, Vol. 13, American Math. Soc., 13–63.
49
Bisch, D. (1998). Principal graphs of subfactors with small Jones index. Mathematische Annalen, 311, 223–231.
50
Bisch, D. (2002). Subfactors and planar algebras. Proc. ICM-2002, Beijing, 2, 775–786.
51
Bisch, D. and Haagerup, U. (1996). Composition of subfactors: New examples of infinite depth subfactors. Annales Scientifiques de l'École Normale Superieur, 29, 329–383.
52
Bisch, D. and Jones, V. F. R. (1997). Algebras associated to intermediate subfactors. Inventiones Mathematicae, 128, 89–157.
53
Bisch, D. and Jones, V. F. R. (1997). A note on free composition of subfactors. In Geometry and Physics, (Aarhus 1995), Marcel Dekker, Lecture Notes in Pure and Applied Mathematics, Vol. 184, 339–361.
54
Bisch, D. and Jones, V. F. R. (2000). Singly generated planar algebras of small dimension. Duke Mathematical Journal, 101, 41–75.
55
Bisch, D. and Jones, V. F. R. (2003). Singly generated planar algebras of small dimension. II Advances in Mathematics, 175, 297–318.
56
Bisch, D., Nicoara, R. and Popa, S. (2007). Continuous families of hyperfinite subfactors with the same standard invariant. International Journal of Mathematics, 18, 255–267. math.OA/0604460.
57
Bisch, D. and Popa, S. (1999). Examples of subfactors with property T standard invariant. Geometric and Functional Analysis, 9, 215–225.
58
Böckenhauer, J. (1996). An algebraic formulation of level one Wess-Zumino-Witten models. Reviews in Mathematical Physics, 8, 925–947.
59
Böckenhauer, J. and Evans, D. E. (1998). Modular invariants, graphs and $\alpha$-induction for nets of subfactors I. Communications in Mathematical Physics, 197, 361–386.
60
Böckenhauer, J. and Evans, D. E. (1999). Modular invariants, graphs and $\alpha$-induction for nets of subfactors II. Communications in Mathematical Physics, 200, 57–103.
61
Böckenhauer, J. and Evans, D. E. (1999). Modular invariants, graphs and $\alpha$-induction for nets of subfactors III. Communications in Mathematical Physics, 205, 183–228.
62
Böckenhauer, J. and Evans, D. E. (2000). Modular invariants from subfactors: Type I coupling matrices and intermediate subfactors. Communications in Mathematical Physics, 213, 267–289.
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.
65
Böckenhauer, J., Evans, D. E. and Kawahigashi, Y. (1999). On $\alpha$-induction, chiral generators and modular invariants for subfactors. Communications in Mathematical Physics, 208, 429–487. math.OA/9904109.
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 $\alpha$-induction. Publications of the RIMS, Kyoto University, 37, 1–35. math.OA/0002154.
68
de Boer, J. and Goeree, J. (1991). Markov traces and II$_1$ factors in conformal field theory. Communications in Mathematical Physics, 139, 267–304.
69
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70
Bratteli, O. (1972). Inductive limits of finite dimensional $C^*$-algebras. Transactions of the American Mathematical Society, 171, 195–234.
71
Brunetti, R., Guido, D. and Longo, R. (1993). Modular structure and duality in conformal quantum 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
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75
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76
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77
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78
Carpi, S. (1998). Absence of subsystems for the Haag-Kastler net generated by the energy-momentum tensor in two-dimensional conformal field theory. Letters in Mathematical Physics, 45, 259–267.
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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 trivial superselection structure. Communications in Mathematical Physics, 217, 89–106.
83
Carpi, S. and Conti, R. (2005). Classification of subsystems for graded-local nets with trivial superselection 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 squares of type $II_1$ factors and their classification. Journal of Functioanl Analysis, 142, 296–336.
87
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88
Choda, M. (1989). Index for factors generated by Jones' two sided sequence of projections. Pacific Journal of Mathematics, 139, 1–16.
89
Choda, M. (1991). Entropy for $*$-endomorphisms and relative entropy for subalgebras. Journal of Operator Theory, 25, 125–140.
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$_1$ factors). Pacific Journal of Mathematics, 158, 49–65.
92
Choda, M. (1994). Square roots of the canonical shifts. Journal of Operator Theory, 31, 145–163.
93
Choda, M. (1994). Extension algebras via $*$-endomorphisms. in Subfactors — Proceedings of the Taniguchi Symposium, Katata —, (ed. H. Araki, et al.), World Scientific, 105–128.
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
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97
Combes, F. (1968). Poids sur une $C^*$-algèbre. Journal de Mathématiques Pures et Appliquées, 47, 57–100.
98
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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.
101
Connes, A. (1975). Sur la classification des facteurs de type II. Comptes Rendus de l'Academie des Sciences, Série I, Mathématiques, 281, 13–15.
102
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103
Connes, A. (1976). Classification of injective factors. Annals of Mathematics, 104, 73–115.
104
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105
Connes, A. (1976). On the classification of von Neumann algebras and their automorphisms. Symposia Mathematica, XX, 435–478.
106
Connes, A. (1977). Periodic automorphisms of the hyperfinite factor of type II$_1$. Acta Scientiarum Mathematicarum, 39, 39–66.
107
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108
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109
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110
Connes, A. (1980). Spatial theory of von Neumann algebras. Journal of Functional Analysis, 35 (1980), 153–164.
111
Connes, A. (1981). An analogue of the Thom isomorphism for crossed products of a $C^*$-algebra by an action of ${\bf R}$. Advances in Mathematics, 39, 311–355.
112
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114
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115
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116
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117
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118
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119
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120
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121
Connes, A. and Krieger, W. (1977). Measure space automorphism groups, the normalizer of their full groups, and approximate finiteness. Journal of Functional Analysis, 24, 336–352.
122
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123
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124
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125
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126
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127
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130
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131
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Kawahigashi, Y. (1995). Orbifold subfactors, central sequences and the relative Jones invariant $\kappa$. International Mathematical Research Notices, 129–140.
363
Kawahigashi, Y. (1995). Classification of paragroup actions on subfactors. Publications of the RIMS, Kyoto University, 31, 481–517.
364
Kawahigashi, Y. (1996). Paragroups as quantized Galois groups of subfactors. Sugaku Expositions, 9, 21–35.
365
Kawahigashi, Y. (1997). Classification of approximately inner automorphisms of subfactors. Mathematische Annalen, 308, 425–438.
366
Kawahigashi, Y. (1997). Quantum doubles and orbifold subfactors. in Operator Algebras and Quantum Field Theory (ed. S. Doplicher, et al.), International Press, 271–283.
367
Kawahigashi, Y. (1998). Subfactors and paragroup theory. in Operator Algebras and Operator Theory (ed. L. Ge, et al.), Contemporary Mathematics, 228, 179–188.
368
Kawahigashi, Y. (1999). Quantum Galois correspondence for subfactors. Journal of Functional Analysis, 167, 481–497.
369
Kawahigashi, Y. (2004). Braiding and nets of factors on the circle. in Operator Algebras and Applications (ed. H. Kosaki), Advanced Studies in Pure Mathematics 38, 219–228.
370
Kawahigashi, Y. (2001). Braiding and extensions of endomorphisms of subfactors. in Mathematical Physics in Mathematics and Physics (ed. R. Longo), The Fields Institute Communications 30, Providence, Rhode Island: AMS Publications, 261–269.
371
Kawahigashi, Y. (2002). Generalized Longo-Rehren subfactors and $\alpha$-induction. Communications in Mathematical Physics, 226, 269–287. math.OA/0107127.
372
Kawahigashi, Y. (2003). Conformal quantum field theory and subfactors. Acta Mathematica Sinica, 19, 557–566.
373
Kawahigashi, Y. (2003). Classification of operator algebraic conformal field theories. “Advances in Quantum Dynamics”, Contemporary Mathematics, 335, 183–193. math.OA/0211141.
374
Kawahigashi, Y. (2005). Subfactor theory and its applications — operator algebras and quantum field theory —. “Selected Papers on Differential Equations”, Amer. Math. Soc. Transl. 215, Amer. Math. Soc., 97–108.
375
Kawahigashi, Y. (2005). Topological quantum field theories and operator algebras. Quantum Field Theory and Noncommutative Geometry, Lecture Notes in Physics, Springer, 662, 241–253. math.OA/0306112.
376
Kawahigashi, Y. (2005). Classification of operator algebraic conformal field theories in dimensions one and two. XIVth International Congress on Mathematical Physics, World Scientific, 476–485. math-ph/0308029.
377
Kawahigashi, Y. (preprint 2007). Conformal field theory and operator algebras. arXiv:0704.0097.
378
Kawahigashi, Y. (preprint 2007). Superconformal field theory and operator algebras.
379
Kawahigashi, Y. and Longo, R. (2004). Classification of Local Conformal Nets. Case $c<1$. Annals of Mathematics, 160, 493–522. math-ph/0201015.
380
Kawahigashi, Y. and Longo, R. (2004). Classification of two-dimensional local conformal nets with $c<1$ and 2-cohomology vanishing for tensor categories. Communications in Mathematical Physics, 244, 63–97. math-ph/0304022.
381
Kawahigashi, Y. and Longo, R. (2005).Noncommutative spectral invariants and black hole entropy. Communications in Mathematical Physics, 257, 193–225. math-ph/0405037.
382
Kawahigashi, Y. and Longo, R. (2006). Local conformal nets arising from framed vertex operator algebras. Advances in Mathematics, 206, 729–751. math.OA/0407263.
383
Kawahigashi, Y., Longo, R. and Müger, M. (2001). Multi-interval subfactors and modularity of representations in conformal field theory. Communications in Mathematical Physics, 219, 631–669. math.OA/9903104.
384
Kawahigashi, Y., Longo, R., Pennig, U. and Rehren, K.-H. (2007). The classification of non-local chiral CFT with $c<1$. Communications in Mathematical Physics, 271, 375–385. math.OA/0505130.



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