bibliography for operator algebras in mathematical physics and AQFT-A to K
Alphabetical order: letters from A to K
-
- 1
-
Akutsu, Y. and Wadati, M. (1987).
Knot invariants and critical statistical systems.
Journal of the Physics Society of Japan,
56, 839-842.
- 2
-
Alexander, J. W. (1930).
The combinatorial theory of complexes.
Annals of Mathematics, (2) 31, 294-322.
- 3
-
Andrews, G. E., Baxter, R. J. and Forrester, P.J. (1984).
Eight vertex SOS model and generalized
Rogers-Ramanujan type identities. Journal of Statistical Physics, 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.
Hokkaido Mathematical Journal.
- 5
-
Arcuri, R. C., Gomes, J. F. and D. I. Olive (1987). Conformal subalgebras and symmetric spaces.
Nuclear Physics B, 285, 327-339.
- 6
-
Artin, E. (1947). Theory of braids. Annals of Mathematics,
48 101-126.
- 7
-
Asaeda, M. (2007). Galois groups and an obstruction to principal graphs of subfactors.
International Journal of Mathematics, 18, 191-202.
math.OA/0605318.
- 8
-
Asaeda, M. and Haagerup, U. (1999). Exotic subfactors of finite depth with Jones indices
and
. Communications in Mathematical Physics,
202, 1-63.
- 9
-
Asaeda, M. and Yasuda, S. (preprint 2007). On Haagerup's list of potential principal graphs of subfactors.
arXiv:0711.4144.
- 10
-
Atiyah, M. (1967).
-theory. W. A. Benjamin Inc., New York.
- 11
-
Atiyah, M. (1989). Topological quantum field theory. Publication Mathématiques IHES,
68, 175-186.
- 12
-
Aubert, P.-L. (1976). Théorie de Galois pour une
-algèbre. Commentarii Mathematici Helvetici,
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
-
Bakalov, B. and Kirillov, A. Jr. (2001). Lectures on tensor categories and modular functors.
University Lecture Series 21, Amer. Math. Soc.
- 15
-
Banica, T. (1997). Le groupe quantique compact libre
, Communications in Mathematical Physics, 190,
143-172.
- 16
-
Banica, T. (1998). Hopf algebras and subfactors associated to vertex models.
Journal of 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. 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.
- 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. Journal of Statistical Physics, 26,
427-452.
- 27
-
Baxter, R. J. (1982). Exactly solved models in statistical mechanics.
Academic Press, New York.
- 28
-
Baxter, R. J. (1988). The superintegrable chiral Potts model. Physics Letters A, 133, 185-189.
- 29
-
Baxter, R. J. (1989). A simple solvable
Hamiltonian.
Physics Letters A, 140, 155-157.
- 30
-
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.
- 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 of the star-triangle relations for the chiral Potts model. Physics Letters A 128, 138-142.
- 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.
- 34
-
Behrend, R. E., Evans, D. E. (preprint 2003). Integrable Lattice Models for Conjugate
.
hep-th/0309068.
- 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.
- 36
-
Belavin, A. A., Polyakov, A. M. and Zamolodchikov, A. B. (1980).
Infinite conformal symmetry in two-dimensional quantum field theory.
Nuclear Physics B, 241, 333-380.
- 37
-
Berezin, F. A. (1966). A method of second quantization. Academic Press, London/New York.
- 38
-
Bertozzini, P., Conti, R. and Longo, R. (1998) Covariant sectors with infinite dimension and positivity of the energy.
Communications in Mathematical Physics, 193, 471-492.
- 39
-
Bion-Nadal, J. (1992).
Subfactor of the hyperfinite
factor with
Coxeter graph
as invariant.
Journal of Operator Theory, 28, 27-50.
- 40
-
Birman, J. (1974). Braids, links and mapping class groups.
Annals of Mathematical Studies, 82.
- 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
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
-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
-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
-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
-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
-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
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
-algebra theory. Annals of Physics,
56, 108-138.
- 70
-
Bratteli, O. (1972).
Inductive limits of finite dimensional
-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
-
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
-
-
classification of minimal and
conformal invariant theories.
Communications in Mathematical Physics, 113, 1-26.
- 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.
- 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 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
factors and their classification.
Journal of Functioanl Analysis, 142, 296-336.
- 87
-
Chen, J. (1993).
The Connes invariant
and cohomology of groups.
Ph. D. dissertation at University of California, Berkeley.
- 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
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
-
Christensen, E. (1979).
Subalgebras of a finite algebra.
Mathematische Annalen, 243, 17-29.
- 97
-
Combes, F. (1968).
Poids sur une
-algèbre.
Journal de Mathématiques Pures et
Appliquées, 47, 57-100.
- 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.
- 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
-
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 Neumann
algebras and their automorphisms.
Symposia Mathematica, XX, 435-478.
- 106
-
Connes, A. (1977).
Periodic automorphisms of the hyperfinite factor of type II
.
Acta Scientiarum Mathematicarum,
39, 39-66.
- 107
-
Connes, A. (1978).
On the cohomology of operator algebras.
Journal of Functional Analysis,
28, 248-253.
- 108
-
Connes, A. (1979).
Sur la théorie non commutative de l'integration.
Springer Lecture Notes in Math.,
725, 19-143.
- 109
-
Connes, A. (1980).
-algebres et geomètrie différentielle.
Comptes Rendus de l'Academie des Sciences,
Série I, Mathématiques,
559-604.
- 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
-algebra by an action of
. Advances in Mathematics,
39, 311-355.
- 112
-
Connes, A. (1982).
Foliations and Operator Algebras.
Proceedings of Symposia in Pure Mathematics.
ed. R. V. Kadison,
38, 521-628.
- 113
-
Connes, A. (1982).
Classification des facteurs.
Proceedings of the Symposia in Pure Mathematics (II),
38, 43-109.
- 114
-
Connes, A. (1985).
Non-commutative differential geometry I-II.
Publication Mathématiques IHES,
62, 41-144.
- 115
-
Connes, A. (1985).
Factors of type III-1, property
and
closure of inner automorphisms.
Journal of Operator Theory, 14, 189-211.
- 116
-
Connes, A. (1985).
Non Commutative Differential Geometry,
Chapter II: De Rham homology and non commutative
algebra. Publication Mathématiques IHES,
62, 257-360.
- 117
-
Connes, A. (1994).
Noncommutative geometry.
Academic Press.
- 118
-
Connes, A. and Evans, D. E. (1989).
Embeddings of
-current algebras in
non-commutative algebras of classical statistical
mechanics. Communications in Mathematical
Physics, 121, 507-525.
- 119
-
Connes, A. and Higson, N. (1990).
Déformations, morphismes asymptotiques et
-théorie bivariante.
Comptes Rendus de l' Academie des Sciences,
Série I, Mathématiques,
311, 101-106.
- 120
-
Connes, A. and Karoubi, M. (1988).
Caractere multiplicatif d'un module de Fredholm.
-theory, 2 431-463.
- 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
-
Connes, A. and Rieffel, M. (1985).
Yang-Mills for non-commutative tori.
Contemporary Mathematics,
62, 237-265.
- 123
-
Connes, A. and Skandalis, G. (1984).
The longitudinal index theorem for foliations.
Publications of the RIMS, Kyoto University,
20, 1139-1183.
- 124
-
Connes, A. and Störmer, E. (1975).
Entropy for automorphisms of
von Neumann algebras.
Acta Mathematica, 134, 289-306.
- 125
-
Connes, A. and Takesaki, M. (1977).
The flow of weights on factors of type III.
Tohoku Mathematical Journal, 29, 73-555.
- 126
-
Conti, R., Doplicher, S., and Roberts, J. E. (2001).
Superselection theory for subsystems.
Communications in Mathematical Physics,
218, 263-281.
- 127
-
Conti, R. and Pinzari, C. (1996).
Remarks on the index of endomorphisms of Cuntz algebras.
Journal of Functional Analysis, 142, 369-405.
- 128
-
Coquereaux, R. (2005)
The
Ocneanu quantum groupoid.
in Algebraic structures and their representations,
Contemporary Mathematics, 376, 227-247.
hep-th/0311151.
- 129
-
Coquereaux, R. and Schieber, G. (2002).
Twisted partition functions for ADE boundary conformal
field theories and Ocneanu algebras of quantum symmetries.
Journal of Geometry and Physics, 42, 216-258.
- 130
-
Coquereaux, R. and Schieber, G. (2003).
Determination of quantum symmetries for higher ADE systems
from the modular T matrix.
Journal of Mathematical Physics, 44, 3809-3837.
hep-th/0203242.
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