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

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

0.1

Literature on operator algebras in mathematical physics and algebraic quantum field theories (AQFT):

Alphabetical order: letters from K to Z.

References

1

Kawahigashi, Y., Sato, N. and Wakui, M. (2005).

(

2

+

1

)

-dimensional topological quantum field theory from subfactors
and

Dehn surgery

formula

for

3

-

manifold

invariants

.

Advances in Mathematics

,

195

, 165-179.

2

Kazhdan, V. and Lusztig, G. (1994).
Tensor

structures

arising from affine Lie algebras.

IV, Journal of the American Mathematical Society

,

7

, 383–453.

3

Kirby, R. (1978).
A

calculus

of farmed links in

S

3

.

Inventiones Mathematicae

,

45

, 35–56.

4

Kirby, R. and Melvin, P. (1990).
On the

3

-manifold invariants of Witten and Reshetikhin–Turaev.

Inventiones Mathematicae

,

105

, 473–545.

5

Kirillov, A. Jr. and Ostrik, V. (2002).
On

q

-analog of McKay correspondence and ADE classification of

s

⁢

l

(

2

)

conformal field theories.

Advances in Mathematics

,

171

, 183–227.
math.QA/0101219.

6

Kirillov, A. N. and Reshetikhin, N. Yu. (1988).

Representations

of the

algebra

U

q

⁢

(

s

⁢

l

2

)

,

q

-

orthogonal polynomials

and invariants for links.

Infinite dimensional Lie algebras and groups

, (Kač,
V. G., ed.), Advanced Series in Mathematical Physics, vol. 7,
285–339.

7

Knizhnik, V. and Zamolodchikov, A. (1984).
Current algebra and Weiss-Zumino models in two

dimensions

.

Nuclear Physics B

,

247

, 83–103.

8

Kodiyalam, V. and Sunder, V. S. (2001).
Spectra of principal graphs.

International Journal of Mathematics

,

12

, 203–210.

9

Kodiyalam, V. and Sunder, V. S. (2001).
Flatness and fusion

coefficients

.

Pacific Journal of Mathematics

,

201

, 177–204.

10

Kodiyalam, V. and Sunder, V. S. (2001).
Topological quantum field theories from subfactors.
Chapman & Hall/CRC, Research Notes in Mathematics,

423

.

11

Kohno, T. (1987).

Monodromy

representations of

braid groups

and Yang–Baxter

equations

.

Annales de l’Institut Fourier, Grenoble

,

37,4

, 139–160.

12

Kohno, T. (1992).

Topological invariants

for

3

-manifolds using
representations of

mapping class groups

I.

Topology

,

31

, 203–230.

13

Kohno, T. (1992).
Three-manifold invariants derived from conformal field theory
and projective representations of modular groups.

International Journal of Modern Physics

,

6

,
1795–1805.

14

Kosaki, H. (1986).

Extension

of Jones’ theory on index to arbitrary factors.

Journal of

Functional Analysis

,

66

, 123–140.

15

Kosaki, H. (1989).

Characterization

of crossed product (properly

infinite

case).

Pacific Journal of Mathematics

,

137

, 159–167.

16

Kosaki, H. (1990).

Index theory

for type III factors.
in

Mappings

of operator algebras,
Proceedings of U.S.-Japan Seminar

, (ed. H. Araki and R. V.
Kadison), Birkhäuser, 129–139.

17

Kosaki, H. (1993).

Automorphisms

in the

irreducible

decompositions of sectors.

Quantum and

non-commutative

analysis

, (ed. H. Araki et al.),
Kluwer Academic, 305–316.

18

Kosaki, H. (1994).
AFD factor of type III

0

with many

isomorphic

index 3 subfactors.

Journal of Operator Theory

,

32

, 17–29.

19

Kosaki, H. (1994).
Some remarks on automorphisms for

inclusions

of type III factors.
in

Subfactors — Proceedings of the Taniguchi Symposium, Katata —

,
(ed. H. Araki, et al.), World Scientific, 153–171.

20

Kosaki, H. (1996).
Sector theory and automorphisms for factor-subfactor pairs.

Journal of the Mathematical Society of Japan

,

48

, 427–454.

21

Kosaki, H. and Loi, P. H. (1995).
A remark on non-splitting inclusions of type III

1

factors.

International Journal of Mathematics

,

6

, 581–586.

22

Kosaki, H. and Longo, R. (1992).
A remark on the

minimal

index of subfactors.

Journal of Functional Analysis

,

107

, 458–470.

23

Kosaki, H., Munemasa, A. and Yamagami, S. (1997).
On fusion algebras associated to

finite group

actions.

Pacific Journal of Mathematics

, bf 177, 269–290.

24

Kosaki, H. and Yamagami, S. (1992).
Irreducible

bimodules

associated with crossed
product algebras.

International Journal of Mathematics

,

3

, 661–676.

25

Köster, S. (2002).
Conformal transformations as observables.

Letters in Mathematical Physics

,

61

, 187–198.

26

Köster, S. (preprint 2003).
Absence of stress energy tensor in CFT

2

models.
math-ph/0303053.

27

Köster, S. (2004).
Local nature of coset models.

Reviews in Mathematical Physics

,

16

, 353–382.
math-ph/0303054.

28

Köster, S. (preprint 2003).
Structure of coset models.
math-ph/0308031.

29

Kostov, I. (1988).
Free field

presentation

of the

A

n

coset models on the torus.

Nuclear Physics B

,

300

, 559–587.

30

Kramers, H. A. and Wannier, G. H. (1941).
Statistics of the two dimensional ferromagnet part 1.

Physical Review

,

60

, 252–262.

31

Kuik, R. (1986).
On the

q

-state Potts model by means of non-commutative algebras.
Ph.D. Thesis Groningen.

32

Kulish, P. and Reshetikhin, N. (1983).
Quantum linear problem for the sine-Gordon equation
and higher representations.

Journal of Soviet Mathematics

,

23

, 2435–2441.

33

Kuniba, A., Akutsu, Y. and Wadati, M. (1986).
Virasoro algebra,

von Neumann algebra

and critical eight vertex SOS model.

Journal of Physics Society of Japan

,

55

, 3285–3288.

34

Landau, Z. (2001).
Fuss-Catalan algebras and chains of intermediate subfactors.

Pacific Journal of Mathematics

,

197

, 325–367.

35

Landau, Z. (2002).
Exchange

relation

planar algebras.

Journal of Functional Analysis

,

195

, 71–88.

36

Lickorish, W. (1988).

Polynomials

for links.

Bulletin of the American Mathematical Society

,

20

, 558–588.

37

Loi, P. H. (1988).
On the theory of index and type III factors.
Thesis, Pennsylvania State University.

38

Loi, P. H. (1996).
On automorphisms of subfactors.

Journal of Functional Analysis

,

141

, 275–293.

39

Loi, P. H. (1994).
On the derived tower of certain inclusions of type
III

λ

factors of index 4.

Pacific Journal of Mathematics

,

165

, 321–345.

40

Loi, P. H. (1994).
Remarks on automorphisms of subfactors.

Proceedings of the American Mathematical Society

,

121

, 523–531.

41

Loi, P. H. (1997).

Periodic

and strongly free automorphisms on inclusions of
type III

λ

factors.

International Journal of Mathematics

,

8

, 83–96.

42

Loi, P. H. (1998).
A structural result of irreducible inclusions of type
III

λ

factors.

Proceedings of the American Mathematical Society

,

126

, 2651–2662.

43

Loi, P. H. (1998).
Commuting squares and the classification of finite depth
inclusions of AFD type III

λ

factors,

λ

∈

(

0

,

1

)

.

Publications of the RIMS, Kyoto University

,

34

, 115–122.

44

Loke, T. (1994).
Operator algebras and conformal field theory of the
discrete series representations of Diff

(

S

1

)

.

Thesis, University of Cambridge

.

45

Longo, R. (1978)
A simple proof of the

existence

of

modular
automorphisms

in approximately finite dimensional
von Neumann algebras.

Pacific Journal of Mathematics

,

75

, 199–205.

46

Longo, R. (1979).
Automatic relative boundedness of

derivations

in

C

*

-algebras.

Journal of Functional Analysis

,

34

, 21–28.

47

Longo, R. (1984).
Solution of the factorial Stone-Weierstrass conjecture.
An application of the theory of standard split

W

*

-inclusions.

Inventiones Mathematicae

,

76

, 145–155.

48

Longo, R. (1987).
Simple

injective

subfactors.

Advances in Mathematics

,

63

, 152–171.

49

Longo, R. (1989).
Index of subfactors and statistics of quantum fields, I.

Communications in Mathematical Physics

,

126

, 217–247.

50

Longo, R. (1990).
Index of subfactors and statistics of quantum fields II.

Communications in Mathematical Physics

,

130

, 285–309.

51

Longo, R. (1992).
Minimal index and braided subfactors.

Journal of Functional Analysis

,

109

, 98–112.

52

Longo, R. (1994).
A

duality

for

Hopf algebras

and for subfactors I.

Communications in Mathematical Physics

,

159

, 133–150.

53

Longo, R. (1994).
Problems on von Neumann algebras suggested by

quantum field theory

.
in

Subfactors — Proceedings of the Taniguchi Symposium, Katata —

,
(ed. H. Araki, et al.),
World Scientific, 233–241.

54

Longo, R. (1997).
An analogue of the Kac-Wakimoto formula and black hole
conditional entropy.

Communications in Mathematical Physics

,

186

, 451–479.

55

Longo, R. (1999).
On the spin-statistics relation for topological charges.
in

Operator Algebras and Quantum Field Theory

(ed. S. Doplicher, et al.), International Press, 661–669.

56

Longo, R. (2001).
Notes for a quantum index theorem.

Communications in Mathematical Physics

,

222

, 45–96.

57

Longo, R. (2003).
Conformal subnets and intermediate subfactors.

Communications in Mathematical Physics

,

237

, 7–30.
math.OA/0102196.

58

Longo, R. and Rehren, K.-H. (1995).
Nets of subfactors.

Reviews in Mathematical Physics

,

7

, 567–597.

59

Longo, R. and Rehren, K.-H. (2004).

Local fields

in

boundary

CFT.

Reviews in Mathematical Physics

,

16

, 909–960.
math-ph/0405067.

60

Longo, R. and Rehren, K.-H. (preprint 2007).
How to remove the boundary.
arXiv:0712.2140.

61

Longo, R. and Roberts, J. E. (1997).
A theory of dimension.

K

-theory

,

11

, 103–159.

62

Longo, R. and Xu, F. (2004).
Topological sectors and a dichotomy in conformal field theory.

Communications in Mathematical Physics

,

251

, 321–364.
math.OA/0309366.

63

Markov, A. (1935).
Über de freie Aquivalenz geschlossener Zöpfe.

Rossiiskaya Akademiya Nauk, Matematicheskii Sbornik

,

1

, 73–78.

64

Masuda, T. (1997). An analogue of Longo’s canonical

endomorphism

for
bimodule theory and its application to

asymptotic

inclusions.

International Journal of Mathematics

,

8

, 249–265.

65

Masuda, T. (1999). Classification of actions of

discrete

amenable groups on
strongly

amenable

subfactors of type

I

⁢

I

⁢

I

λ

.

Proceedings of the American Mathematical Society

,

127

, 2053–2057.

66

Masuda, T. (1999). Classification of strongly

free actions

of discrete amenable groups on
strongly amenable subfactors of type

I

⁢

I

⁢

I

0

.

Pacific Journal of Mathematics

,

191

, 347–357.

67

Masuda, T. (2000).

Generalization

of Longo-Rehren construction to subfactors of
infinite depth and amenability of fusion algebras.

Journal of Functional Analysis

,

171

, 53–77.

68

Masuda, T. (2001). Extension of automorphisms of a subfactor to the

symmetric

enveloping algebra.

International Journal of Mathematics

,

12

, 637–659.

69

Masuda, T. (in press). Classification of approximately inner actions of discrete
amenable groups on strongly amenable subfactors.

International Journal of Mathematics

,

70

Masuda, T. (2003).Notes on

group actions

on subfactors.

Journal of the Mathematical Society of Japan

,

55

, 1–11.

71

Masuda, T. (2003). On non-strongly free automorphisms of subfactors of type III

0

.

Canadian Mathematical Bulletin

,

46

, 419–428.

72

Masuda, T. (2005). An analogue of Connes-Haagerup approach to classification of
subfactors of type

I

⁢

I

⁢

I

1

.

Journal of the Mathematical Society of Japan

,

57

, 959–1001.

73

McCoy, B. and Wu, T. (1972). The two dimensional Ising model.

Harvard University Press, Cambridge, Massachusetts

,

40

.

74

McDuff, D. (1969). Uncountably many

I

⁢

I

1

factors.

Annals of Mathematics

,

90

, 372–377.

75

McDuff, D. (1970).

Central

sequences

and the

hyperfinite

factor.

Proceedings of the London Mathematical Society

,

21

, 443–461.

76

Moore, G. and Seiberg, N. (1989). Classical and quantum conformal field theory.

Communications in Mathematical Physics

,

123

, 177–254.

77

Moore, G. and Seiberg, N. (1989). Naturality in conformal field theory.

Nuclear Physics B

,

313

, 16–40.

78

Müger, M. (1998). Superselection structure of massive quantum field theories in

1

+

1

dimensions.

Reviews in Mathematical Physics

,

10

, 1147–1170.

79

Müger, M. (1999). On soliton automorphisms in massive and conformal theories.

Reviews in Mathematical Physics

,

11

, 337–359.

80

Müger, M. (1999). On charged fields with group

symmetry

and degeneracies of Verlinde’s
matrix

S

.

Annales de l’Institut Henri Poincaré. Physique Théorique

,

71

, 359–394.

81

Müger, M. (2000).

Galois theory

for braided tensor categories and the

modular

closure

.

Advances in Mathematics

,

150

, 151–201.

82

Müger, M. (2001). Conformal field theory and Doplicher-Roberts reconstruction.
in

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, Providence, Rhode Island:
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83

Müger, M. (2003). From subfactors to

categories

and topology I.
Frobenius algebras in and

Morita equivalence

of tensor categories.

Journal of Pure and Applied Algebra

,

180

, 81–157. math.CT/0111204.

84

Müger, M. (2003). From subfactors to categories and topology II.
The

quantum double

of subfactors and categories.

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,

180

, 159–219. math.CT/0111205.

85

Müger, M. (in press).
On the structure of modular categories.

Proceedings of the London Mathematical Society

. math.CT/0201017.

86

Müger, M. (preprint 2002).

Galois extensions

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87

Müger, M. (2005). Conformal

orbifold

theories and braided crossed G-categories

Communications in Mathematical Physics

,

260

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88

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,

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89

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.

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,

24

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90

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S

⁢

U

⁢

(

2

)

-invariants

dominate

Casson’s

S

⁢

U

⁢

(

2

)

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91

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92

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93

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94

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95

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96

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)

current algebras.

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97

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98

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99

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103

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Title

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

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BibliographyForOperatorAlgebrasInMathematicalPhysicsAndAQFTKtoZ

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