no. 1
On space-time, reference frames and the structure of relativity groups
Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 16 (1972) no. 1, pp. 1-22. 
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     pages = {1--22},
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     number = {1},
     year = {1972},
     mrnumber = {292475},
     zbl = {0231.58005},
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     url = {http://www.numdam.org/item/AIHPA_1972__16_1_1_0/}
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Berzi, Vittorio; Gorini, Vittorio. On space-time, reference frames and the structure of relativity groups. Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 16 (1972) no. 1, pp. 1-22. http://www.numdam.org/item/AIHPA_1972__16_1_1_0/

[1] (a) G. Birkhoff and J. Von Neumann, Ann. Math., vol. 37, 1936, p. 823, (b) G.W. Mackey, Mathematical Foundations of Quantum Mechanics, Benjamin, New York, 1963. (c) C. Piron, (1) Helv. Phys. Acta, vol. 37, 1964, p. 439; (2) Observables in General Quantum Theory, lectures delivered at the International School of Physics « Enrico Fermi », Foundations of Quantum Mechanics, Varenna, Italy, 29 June-11 July, 1970, to appear in the proceedings; (3) Survey of General Quantum Physics, Seminars delivered at the University of Denver, Colorado, Autumn 1970. (d) R. Haag and D. Kastler, J. Math. Phys., vol. 5, 1964, p. 848. (e) R.M.F. Houtappel, H. Van Dam and E.P. Wigner, Rev. Mod. Phys., vol. 37, 1965, p. 595. (f) V.S. Varadarajan, Geometry of Quantum Theory, vol. I, Van Nostrand, Princeton, New Jersey, 1968. (g) J.M. Jauch, Foundations of Quantum Mechanics, Addison Wesley, Reading, Mass., 1968. (h) G. Ludwig, Lecture Notes in Physics, 4, Berlin 1970. (i) R. Giles, J. Math. Phys., vol. 11, 1970, p. 2139. | MR

[2] N. Bourbaki, Variétés Différentielles et Analytiques, Résultats, Hermann, Paris, 1967, Section 5.1. | MR | Zbl

[3] J.L. Synge, Relativity, the Special Theory, North Holland Publishing Company, Amsterdam, 1956, chap. 1, sections 2, 3 and 4. | MR | Zbl

[4] N. Bourbaki, Topologie générale, Hermann, Paris, chap. II (fourth edition, 1965), section 4, No. 1, corollary 2 to theorem 1. | MR

[5] (a) A. Lichnerowicz, Théories Relativistes de la Gravitation et de l'Électromagnétisme, Masson, Paris, 1955 ; (b) J.L. Anderson, Principles of Relativity Physics, Academic Press, New York, 1967. | Zbl

[6] B. Mielnik, Commun. Math. Phys., vol. 15, 1969, p. 1. | MR | Zbl

[7] J.-P. Antoine and A. Gleit, Int. J. Theor. Phys., vol. 4, 1971, p. 197.

[8] N. Bourbaki, Topologie générale, Hermann, Paris, chap. X (second edition, 1967), section 1, No. 2, proposition 1.

[9] N. Bourbaki, Ibid., chap. X (second edition, 1967), section 1, No. 2, remarks 1 and 2 and chap II (fourth edition, 1965), section 2, No. 2, corollary to proposition 3.

[10] N. Bourbaki, Variétés Différentielles et Analytiques. Résultats, Hermann, Paris, 1967, section 5.1, No. 6. | MR | Zbl

[11] N. Bourbaki, Topologie générale, Hermann, Paris, chap. X (second edition, 1967), section 3, n° 5 and exercise No. 17.

[12] N. Bourbaki, Ibid., chap X (second edition, 1967), section 3, No. 5.

[13] N. Bourbaki, Ibid., chap. X (second edition, 1967), section 3, No. 4, corollary 1 to theorem 3.

[14] N. Bourbaki, Ibid., chap. X (second édition, 1967), section 1, No. 2, Remark 1 and chap. II (fourth edition, 1965), section 1, No. 2, proposition 1.

[15] N. Bourbaki, Ibid., chap. X (second edition, 1967), section 3, No. 4, theorem 2.

[16] N. Bourbaki, Ibid., chap. X (second edition, 1967), section 3, No. 2, remark 1.

[17] S. Helgason, Differential Geometry and Symmetric Spaces, Academic Press, New York, 1962, chap. II, theorem 3.2. | MR | Zbl

[18] N. Bourbaki, Topologie générale, Hermann, Paris, chap. VII (third edition, 1963), section 1, No. 2.

[19] V. Gorini, Commun. Math. Phys., vol. 21, 1971, p. 150. | MR | Zbl

[20] V. Berzi and V. Gorini, Space-Time, Reference Frames, Relativistic Invariance : a Topological Approach., Milan University report IFUM 108/FT-1970, unpublished.