C*-algebras of central group extensions I

C. M. Edwards

Annales de l'I.H.P. Physique théorique (1969)

  • Volume: 10, Issue: 3, page 229-246
  • ISSN: 0246-0211

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Edwards, C. M.. "C*-algebras of central group extensions I." Annales de l'I.H.P. Physique théorique 10.3 (1969): 229-246. <http://eudml.org/doc/75621>.

@article{Edwards1969,
author = {Edwards, C. M.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {functional analysis},
language = {eng},
number = {3},
pages = {229-246},
publisher = {Gauthier-Villars},
title = {C*-algebras of central group extensions I},
url = {http://eudml.org/doc/75621},
volume = {10},
year = {1969},
}

TY - JOUR
AU - Edwards, C. M.
TI - C*-algebras of central group extensions I
JO - Annales de l'I.H.P. Physique théorique
PY - 1969
PB - Gauthier-Villars
VL - 10
IS - 3
SP - 229
EP - 246
LA - eng
KW - functional analysis
UR - http://eudml.org/doc/75621
ER -

References

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  1. [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. Zbl0132.43805MR158666
  2. [2] H. Araki, On the algebra of all local observables, Progr. Theor. Phys., t. 32, 1964, p. 844-854. Zbl0125.21904MR182329
  3. [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. MR152295
  4. [4] H.J. Borchers, On the structure of the algebra of field operators, Nuovo Cimento, t. 24, 1962, p. 214-236. Zbl0129.42205MR142320
  5. [5] L. Calabi, Sur les extensions des groupes topologiques, Ann. Math. Pure et Appl., t. 32, 1951, p. 295-370. Zbl0054.01302MR49907
  6. [6] J. Dixmier, Les C*-algèbres et leurs représentations, Gauthier-Villars, Paris, 1964. Zbl0152.32902MR171173
  7. [7] J. Dixmier, Les algèbres d'opérateurs dans l'espace hilbertien, Gauthier-Villars, Paris, 1957. Zbl0088.32304MR94722
  8. [8] C.M. Edwards and J.T. Lewis, Twisted group algebras I, Comm. Math. Phys. (to appear). Zbl0175.44502
  9. [9] J.M.G. Fell, C*-algebras with smooth dual, Illinois J. Math., t. 4, 1960, p. 221-230. Zbl0094.09702MR124754
  10. [10] J. Glimm, Type 1 C*-algebras, Ann. Maths, t. 73, 1961, p. 572-611. Zbl0152.33002MR124756
  11. [11] R. Haag and D. Kastler, An algebraic approach to quantum field theory, J. Math. Phys., t. 5, 1964, p. 848-854. Zbl0139.46003MR165864
  12. [12] E. Hewitt and K.A. Ross, Abstract harmonic analysis, Springer-Verlag, Gröningen, 1963. Zbl0115.10603
  13. [13] D. Kastler, The C*-algebras of a free boson field I, Comm. Math. Phys., t. 1, 1965, p. 31-48. Zbl0137.45601MR193983
  14. [14] G.W. Mackey, Borel structure in groups and their duals, Trans. Amer. Math. Soc., t. 85, 1957, p. 134-165. Zbl0082.11201MR89999
  15. [15] G.W. Mackey, Les ensembles boréliens et les extensions des groupes, J. Math. Pures et Appl., t. 36, 1957, p. 171-178. Zbl0080.02303MR89998
  16. [16] G. Loupias and S. Miracle-Sole, C*-algèbres des systèmes canoniques I, Comm. Math. Phys., t. 2, 1966, p. 31-48. Zbl0144.23401MR203507
  17. [17] M.A. Naimark, Normed Rings, Noordhoff, Amsterdam, 1959. Zbl0089.10102MR355601
  18. [18] W. Rudin, Fourier analysis on groups, Interscience, New York, 1962. Zbl0107.09603MR152834
  19. [19] S. Sakai, A characterization of Type I C*-algebras, Bull. Amer. Math. Soc., t. 92, 1967, p. 508-512. Zbl0141.12305MR192363
  20. [20] J. Von Neumann, Die Eindeutigkeit der Schrôdingershen Operatoren, Math. Ann., t. 104, 1951, p. 570-578. Zbl0001.24703MR1512685JFM57.1446.01
  21. [21] H. Weyl, Theory of groups and quantum mechanics, Dover, London, 1931. 
  22. [22] A. Wolfsohn, Produit tensoriel de C*-algèbres, Bull. Sci. Math., t. 87 (2), 1963, p. 13-27. Zbl0146.12001MR167855

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