no. 3
Partial * -algebras of closed operators and their commutants. I. General structure
Annales de l'I.H.P. Physique théorique, Tome 46 (1987) no. 3, pp. 299-324.
partie suivante Partial * -algebras of closed operators and their commutants. II. Commutants and bicommutants 
@article{AIHPA_1987__46_3_299_0,
     author = {Antoine, J.-P. and Mathot, F.},
     title = {Partial $^\ast $-algebras of closed operators and their commutants. {I.} {General} structure},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     pages = {299--324},
     publisher = {Gauthier-Villars},
     volume = {46},
     number = {3},
     year = {1987},
     mrnumber = {892367},
     zbl = {0629.46048},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1987__46_3_299_0/}
}
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Antoine, J.-P.; Mathot, F. Partial $^\ast $-algebras of closed operators and their commutants. I. General structure. Annales de l'I.H.P. Physique théorique, Tome 46 (1987) no. 3, pp. 299-324. http://www.numdam.org/item/AIHPA_1987__46_3_299_0/

[1] O. Bratteli and D.W. Robinson, Operator Algebras and Quantum Statistical Mechanics I, Springer Verlag, Berlin et al., 1979. | MR | Zbl

[2] See, for instance, G.G. Emch and H.J.F. Knops, J. Math. Phys., t. 11, 1970, p. 3008, or H. Narnhofer, Acta Phys. Austr., t. 49, 1978, p. 207.

[3] H.J. Borchers, Nuovo Cimento, t. 24, 1962, p. 214. | MR | Zbl

[4] G. Lassner and A. Uhlmann, Commun. Math. Phys., t. 7, 1968, p. 152. | MR | Zbl

[5] A.N. Vasil'Ev, Theor. Math. Phys., t. 2, 1970, p. 113.

[6] R. Ascoli, G. Epifanio and A. Restivo, Commun. Math. Phys., t. 18, 1970, p. 291 ; Rivista Mat. Univ. Parma, t. 3, 1974, p. 21. | MR | Zbl

[7] R.T. Powers, Commun. Math. Phys., t. 21, 1971, p. 85 ; Trans. Amer. Math. Soc., t. 187, 1974, p. 261. | MR | Zbl

[8] G. Lassner, Rep. Math. Phys., t. 3, 1972, p. 279 ; Wiss. Z. Karl-Marx-Univ. Leipzig, Math.-Naturwiss. R., t. 24, 1975, p. 465 ; ibid., t. 30, 1981, p. 572. | MR | Zbl

[9] A. Inoue, Pacific J. of Math., t. 65, 1976, p. 77 and subsequent papers. | MR | Zbl

[10] J.-P. Antoine, G. Epifanio and C. Trapani, Helv. Phys. Acta, t. 56, 1983, p. 1175. | MR

[11] G. Epifanio and C. Trapani, J. Math. Phys., t. 25, 1984, p. 2633. | MR | Zbl

[12] S.S. Horuzhy and A.V. Voronin, Commun. Math. Phys., t. 102, 1986, p. 687. | MR | Zbl

[13] J.-P. Antoine and W. Karwowski in Quantum Theory of Particles and Fields, p. 13- 30; J. Lukierski and B. Jancewicz (eds), World Scientific, Singapore, 1983. | MR

[14] J.-P. Antoine and W. Karwowski, Publ. RIMS, Kyoto Univ., t. 21, 1985, p. 205 ; Addendum, ibid., t. 22, 1986, p. 507. | Zbl

[15] J.-P. Antoine, in Spontaneous Symmetry Breakdown and Related Subjects (Kar- pacz 1985), p. 247-267; L. Michel, J. Mozrzymas and A. Pekalski (eds), World Scientific, Singapore, 1985. | MR

[16] F. Mathot, J. Math. Phys., t. 26, 1985, p. 1118. | MR | Zbl

[17] K.-D. Kürsten, Publ. RIMS, Kyoto Univ., t. 22, 1986, p. 151. | Zbl

[18] H.J. Borchers, in RCP 25 (Strasbourg), t. 22, 1975, p. 26, and also in Quantum Dynamics : Models and Mathematics, L. Streit (ed.), Acta Phys. Austr. Suppl., t. 16, 1976, p. 15.

[19] G. Lassner, Physica A, t. 124, 1984, p. 471. | MR | Zbl

[20] S. Stratila and L. Zsido, Lectures on von Neumann Algebras, Editura Academiei, Bucuresti, and Abacus Press, Tunbridge Wells, 1979. | MR | Zbl

[21] J.-P. Antoine and A. Grossmann, J. Funct. Anal., t. 23, 1976, p. 379 ; J.-P. Antoine, J. Math. Phys., t. 21, 1980, p. 2067. | MR | Zbl

[22] G.R. Allan, Proc. London Math. Soc., (3), t. 17, 1967, p. 91 ; P.G. Dixon, ibid., t. 21, 1970, p. 693 ; t. 23, 1971, p. 53. | Zbl

[23] C. Trapani, private communication.

[24] A. Inoue, K. Kuriyama and S. Ôta, Mem. Fac. Sc. Kyushu Univ., t. 33, 1979, p. 355. | Zbl

[25] J.-P. Jurzak, J. Funct. Anal., t. 21, 1976, p. 469 ; D. Arnal and J.-P. Jurzak, ibid., t. 24, 1977, p. 397. | Zbl