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

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):

Alphabetical order: Letters from A to K

References

1

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Knot invariants

and critical statistical systems.

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56

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identities

.

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,

35

, 193–266.

4

Aoi, H. and Yamanouchi, T. (in press).
Construction of a canonical subfactor for an

inclusion

of factors with a common

Cartan subalgebra

.
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7

Asaeda, M. (2007).

Galois groups

and an

obstruction

to principal graphs of subfactors.

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, 191–202.
math.OA/0605318.

8

Asaeda, M. and Haagerup, U. (1999). Exotic subfactors of finite depth with Jones indices

(

5

+

13

)

/

2

and

(

5

+

17

)

/

2

.

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202

, 1–63.

9

Asaeda, M. and Yasuda, S. (preprint 2007). On Haagerup’s list of potential principal graphs of subfactors.
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10

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K

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.

11

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68

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12

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*

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39 (51)

, 411–433.

13

Baez, J. C., Segal, I. E. and Zhou, Z. (1992).

Introduction

to

algebraic

and constructive quantum
field theory.

Princeton University Press

.

14

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, Amer. Math. Soc.

15

Banica, T. (1997). Le groupe quantique

compact

libre

U

⁢

(

n

)

,

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190

,
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16

Banica, T. (1998).

Hopf algebras

and subfactors associated to vertex models.

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Functional Analysis

,

159

, 243–266.

17

Banica, T. (1999).

Representations

of

compact quantum groups

and subfactors.

Journal für die Reine und Angewandte Mathematik

,

509

, 167–198.

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.

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,

314

, 763–780.

20

Banica, T. (2000). Compact Kac

algebras

and commuting squares.

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,

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.

25

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.

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,

26

,
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27

Baxter, R. J. (1982).

Exactly solved models in statistical mechanics

.
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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

Z

4

⁢

(

N

)

Hamiltonian

.

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,

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, 155–157.

30

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properties, an “

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” model, and a simple associated Hamiltonian.

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,

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.

32

Baxter, R. J., Perk, J. H. H. and Au-Yang, H. (1988). New

solutions

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128

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33

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,

358

, 535–559.

34

Behrend, R. E., Evans, D. E. (preprint 2003). Integrable Lattice Models for

Conjugate

A

n

(

1

)

.
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35

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36

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Infinite

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quantum field theory

.

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,

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37

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Academic Press

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38

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dimension

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,

193

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39

Bion-Nadal, J. (1992).
Subfactor of the hyperfinite

I

⁢

I

1

factor with

Coxeter graph

E

6

as

invariant

.

Journal of Operator Theory

,

28

, 27–50.

40

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.

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,

82

.

41

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,

313

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42

Bisch, D. (1990). On the

existence

of

central

sequences

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,

321

, 117–128.

43

Bisch, D. (1992). Entropy of groups and subfactors.

Journal of Functional Analysis

,

103

,
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44

Bisch, D. (1994). A note on intermediate subfactors.

Pacific Journal of Mathematics

,

163

,
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45

Bisch, D. (1994).
On the

structure

of finite depth subfactors.
in

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,
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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 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

α

-

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

α

-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

α

-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

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(ed. R. Coquereaux et al.),
Comtemp. Math.

294

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math.OA/0006114.

64

Böckenhauer, J. and Evans, D. E. (2001).
Modular invariants and subfactors.
in

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(ed. R. Longo),
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30

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AMS Publications, 11–37.
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65

Böckenhauer, J., Evans, D. E. and Kawahigashi, Y. (1999).
On

α

-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.

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,

210

, 733–784.
math.OA/9907149.

67

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

α

-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

Bongaarts, P. J. M. (1970).
The electron-positron field, coupled to external
electromagnetic potentials as an

elementary

C

*

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56

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70

Bratteli, O. (1972).

Inductive limits

of finite dimensional

C

*

-algebras.

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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.

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,

7

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73

Buchholz, D., Doplicher, S., Longo, R. and Roberts, J. E. (1993).

Extensions

of

automorphisms

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,

155

, 123–134.

74

Buchholz, D., Mack, G. and Todorov, I. (1988).
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75

Buchholz, D. and Schulz-Mirbach, H. (1990).
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2

105–125.

76

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Subfactors and

Hadamard matrices

.
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77

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

A

-

D

-

E

classification

of

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and

A

1

(

1

)

conformal invariant theories.

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78

Carpi, S. (1998).
Absence of subsystems for the Haag-Kastler net generated by
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79

Carpi, S. (2003).
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80

Carpi, S. (2004).
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244

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81

Carpi, S. (2005).
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.

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,

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82

Carpi, S. and Conti, R. (2001).
Classification of subsystems for local nets with

trivial

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Communications in Mathematical Physics

,

217

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83

Carpi, S. and Conti, R. (2005).
Classification of subsystems for graded-local nets with trivial
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.

253

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84

Carpi, S., Kawahigashi, Y. and Longo, R. (in press).
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85

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86

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factors and their classification.

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87

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χ

⁢

(

M

)

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88

Choda, M. (1989).
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Pacific Journal of Mathematics

,

139

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89

Choda, M. (1991).
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*

-

endomorphisms

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Journal of Operator Theory

,

25

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90

Choda, M. (1992).
Entropy for canonical shift.

Transactions of the American Mathematical Society

,

334

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91

Choda, M. (1993).
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1

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Pacific Journal of Mathematics

,

158

, 49–65.

92

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Journal of Operator Theory

,

31

, 145–163.

93

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94

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95

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,

122

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96

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Subalgebras of a

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.

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97

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98

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Annales Scientifiques de l’École Normale Supérieure

,

6

, 133–252.

99

Connes, A. (1975).
Outer

conjugacy classes

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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.

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,

281

, 13–15.

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

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of automorphisms of factors.

Symposia Mathematica

,

XX

, 149–160.

105

Connes, A. (1976).
On the classification of

von Neumann
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and their automorphisms.

Symposia Mathematica

,

XX

, 435–478.

106

Connes, A. (1977).

Periodic

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1

.

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,

39

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107

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,

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, 248–253.

108

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109

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C

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110

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Spatial theory of von Neumann algebras.

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,

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111

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An analogue of the Thom isomorphism for crossed
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C

*

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𝐑

.

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,

39

, 311–355.

112

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Foliations and Operator Algebras.

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, 521–628.

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119

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125

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126

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218

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127

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