no. 2
Central decomposition of Poincaré-invariant nets of local field algebras and absence of spontaneous breaking of the Lorentz group
Annales de l'I.H.P. Physique théorique, Tome 43 (1985) no. 2, pp. 147-166. 
@article{AIHPA_1985__43_2_147_0,
     author = {Driessler, Wulf and Summers, Stephen J.},
     title = {Central decomposition of {Poincar\'e-invariant} nets of local field algebras and absence of spontaneous breaking of the {Lorentz} group},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     pages = {147--166},
     publisher = {Gauthier-Villars},
     volume = {43},
     number = {2},
     year = {1985},
     mrnumber = {817532},
     zbl = {0609.47059},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1985__43_2_147_0/}
}
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Driessler, Wulf; Summers, Stephen J. Central decomposition of Poincaré-invariant nets of local field algebras and absence of spontaneous breaking of the Lorentz group. Annales de l'I.H.P. Physique théorique, Tome 43 (1985) no. 2, pp. 147-166. http://www.numdam.org/item/AIHPA_1985__43_2_147_0/

[1] H. Araki, On the algebra of all local observables, Prog. Theor. Phys., t. 32, 1964, p. 844-854. | MR | Zbl

[2] S. Doplicher, R. Haag and J.E. Roberts, Fields, observables and gauge transformations, I, Commun. Math. Phys., t. 13, 1969, p. 1-23. | MR | Zbl

[3] S.J. Summers, On the phase diagram of a P(φ)2 quantum field model, Ann. Inst. Henri Poincaré, t. A34, 1981, p. 173-229. | Numdam | MR

[4] J.Z. Imbrie, Phase diagrams and cluster expansions for low temperature P(φ)2 models, I and II, Commun. Math. Phys., t. 82, 1981, p. 261-304 and p. 305-343. | MR

[5] T. Balaban and K. Gawedzki, A low temperature expansion for the pseudoscalar Yukawa model of quantum fields in two space-time dimensions, Ann. Inst. Henri Poincaré, t. A36, 1982, p. 271-400. | Numdam | MR | Zbl

[6] J.J. Bisognano and E.H. Wichmann, On the duality condition for a Hermitian scalar field, J. Math. Phys., t. 16, 1975, p. 985-1007. | MR | Zbl

[7] J.J. Bisognano and E.H. Wichmann, On the duality condition for quantum fields, J. Math. Phys., t. 17, 1976, p. 303-321. | MR

[8] W. Driessler and S.J. Summers, Nonexistence of quantum fields associated with two-dimensional spacelike planes, Commun. Math. Phys., t. 89, 1983, p. 221-226. | MR | Zbl

[9] E.H. Wichmann, On systems of local operators and the duality condition, J. Math. Phys., t. 24, 1983, p. 1633-1644. | MR | Zbl

[10] W. Driessler, S.J. Summers and E.H. Wichmann, On the affiliation of quantum field operators to local algebras of observables, Universität Osnabrück-University of California, Berkeley, preprint, to appear.

[11] H.J. Borchers, On the structure of the algebra of field operators, Nuovo Cim., t. 24, 1962, p. 214-236. | MR | Zbl

[12] D. Maison, Eine Bemerkung zu Clustereigenschaften, Commun. Math. Phys., t. 10, 1968, p. 48-51. | MR | Zbl

[13] J. Dixmier, Les algèbres d'opérateurs dans l'espace Hilbertien, 2e édition, Gauthier-Villars, Paris, 1969. | MR | Zbl

[14] W. Driessler, Comments on lightlike translations and applications in relativistic quantum field theory, Commun. Math. Phys., t. 44, 1975, p. 133-141. | MR | Zbl

[15] G.G. Emch, Algebraic methods in statistical mechanics and quantum field theory, John Wiley and Sons, Inc., New York, 1972. | Zbl

[16] J.E. Roberts, Spontaneously broken gauge symmetries and superselection rules, in Proceedings of the international school of mathematical physics, Univ. of Camerino, 1974, E. Gallavotti (ed.), Univ. of Camerino, 1976.

[17] J.-P. Jurzak, Decomposable operators: Applications to K. M. S. weights in a decomposable von Neumann algebra, Rep. Math. Phys., t. 8, 1975, p. 203-228. | MR | Zbl

[18] M. Takesaki, Theory of operator algebras I, Springer-Verlag, New York, 1979. | Zbl

[19] R. Longo, Notes on algebraic invariants for non-commutative dynamical systems, Commun. Math. Phys., t. 69, 1979, p. 195-207. | MR | Zbl

[20] M. Takesaki, Tomita's theory of modular Hilbert algebras and its applications, Lecture notes in mathematics, 128, Springer-Verlag, Berlin, Heidelberg, New York, 1970. | MR | Zbl

[21] F. Combes, Poids et espérances conditionnelles dans les algèbres de von Neumann, Bull. Soc. Math. France, t. 99, 1971, p. 73-112. | Numdam | MR | Zbl

[22] R. Jost, The general theory of quantized fields, American mathematical society, Providence, Rhode Island, 1965. | MR | Zbl

[23] R.F. Streater and A.S. Wightman, PCT, Spin and statistics and all that, Benjamin Publishing Co., Reading, Massachusetts, 1964. | MR | Zbl

[24] H. Araki, Von Neumann algebras of local observables for free scalar field, J. Math. Phys., t. 5, 1974, p. 1-13. | MR | Zbl