Edwards, C. M.
C * -algebras of central group extensions I
Annales de l'I.H.P. Physique théorique, Tome 10 (1969) no. 3 , p. 229-246
Zbl 0175.14003 | MR 248284
URL stable : http://www.numdam.org/item?id=AIHPA_1969__10_3_229_0

Bibliographie

[1] H. Araki, A lattice of von Neumann algebras associated with the quantum theory of a free Bose field, J. Math. Phys., t. 4, 1963, p. 1343-1362. MR 158666 | Zbl 0132.43805

[2] H. Araki, On the algebra of all local observables, Progr. Theor. Phys., t. 32, 1964, p. 844-854. MR 182329 | Zbl 0125.21904

[3] H. Araki and E.J. Woods, Representations of the canonical commutation relations describing à non-relativistic infinite Bose gas, J. Math. Phys., t. 4, 1963, p. 637- 662. MR 152295

[4] H.J. Borchers, On the structure of the algebra of field operators, Nuovo Cimento, t. 24, 1962, p. 214-236. MR 142320 | Zbl 0129.42205

[5] L. Calabi, Sur les extensions des groupes topologiques, Ann. Math. Pure et Appl., t. 32, 1951, p. 295-370. MR 49907 | Zbl 0054.01302

[6] J. Dixmier, Les C*-algèbres et leurs représentations, Gauthier-Villars, Paris, 1964. MR 171173 | Zbl 0152.32902

[7] J. Dixmier, Les algèbres d'opérateurs dans l'espace hilbertien, Gauthier-Villars, Paris, 1957. MR 94722 | Zbl 0088.32304

[8] C.M. Edwards and J.T. Lewis, Twisted group algebras I, Comm. Math. Phys. (to appear). Zbl 0175.44502

[9] J.M.G. Fell, C*-algebras with smooth dual, Illinois J. Math., t. 4, 1960, p. 221-230. MR 124754 | Zbl 0094.09702

[10] J. Glimm, Type 1 C*-algebras, Ann. Maths, t. 73, 1961, p. 572-611. MR 124756 | Zbl 0152.33002

[11] R. Haag and D. Kastler, An algebraic approach to quantum field theory, J. Math. Phys., t. 5, 1964, p. 848-854. MR 165864 | Zbl 0139.46003

[12] E. Hewitt and K.A. Ross, Abstract harmonic analysis, Springer-Verlag, Gröningen, 1963.

[13] D. Kastler, The C*-algebras of a free boson field I, Comm. Math. Phys., t. 1, 1965, p. 31-48. MR 193983 | Zbl 0137.45601

[14] G.W. Mackey, Borel structure in groups and their duals, Trans. Amer. Math. Soc., t. 85, 1957, p. 134-165. MR 89999 | Zbl 0082.11201

[15] G.W. Mackey, Les ensembles boréliens et les extensions des groupes, J. Math. Pures et Appl., t. 36, 1957, p. 171-178. MR 89998 | Zbl 0080.02303

[16] G. Loupias and S. Miracle-Sole, C*-algèbres des systèmes canoniques I, Comm. Math. Phys., t. 2, 1966, p. 31-48. MR 203507 | Zbl 0144.23401

[17] M.A. Naimark, Normed Rings, Noordhoff, Amsterdam, 1959. MR 355601 | Zbl 0089.10102

[18] W. Rudin, Fourier analysis on groups, Interscience, New York, 1962. MR 152834 | Zbl 0107.09603

[19] S. Sakai, A characterization of Type I C*-algebras, Bull. Amer. Math. Soc., t. 92, 1967, p. 508-512. MR 192363 | Zbl 0141.12305

[20] J. Von Neumann, Die Eindeutigkeit der Schrôdingershen Operatoren, Math. Ann., t. 104, 1951, p. 570-578. JFM 57.1446.01 | MR 1512685 | Zbl 0001.24703

[21] H. Weyl, Theory of groups and quantum mechanics, Dover, London, 1931.

[22] A. Wolfsohn, Produit tensoriel de C*-algèbres, Bull. Sci. Math., t. 87 (2), 1963, p. 13-27. MR 167855 | Zbl 0146.12001