C*-algèbre de relations de commutation

J. Manuceau

Annales de l'I.H.P. Physique théorique (1968)

  • Volume: 8, Issue: 2, page 139-161
  • ISSN: 0246-0211

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Manuceau, J.. "C*-algèbre de relations de commutation." Annales de l'I.H.P. Physique théorique 8.2 (1968): 139-161. <http://eudml.org/doc/75584>.

@article{Manuceau1968,
author = {Manuceau, J.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {quantum theory},
language = {fre},
number = {2},
pages = {139-161},
publisher = {Gauthier-Villars},
title = {C*-algèbre de relations de commutation},
url = {http://eudml.org/doc/75584},
volume = {8},
year = {1968},
}

TY - JOUR
AU - Manuceau, J.
TI - C*-algèbre de relations de commutation
JO - Annales de l'I.H.P. Physique théorique
PY - 1968
PB - Gauthier-Villars
VL - 8
IS - 2
SP - 139
EP - 161
LA - fre
KW - quantum theory
UR - http://eudml.org/doc/75584
ER -

References

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  1. [1] D. Kastler, The C*-algebras of a free boson field. I. Discussion of Basic Facts. Commun. Math. Phys., 1, 1965, 14-18. Zbl0137.45601MR193983
  2. [2] J. Manuceau, Étude de quelques automorphismes de la C*-algèbre du champ de bosons libres. Ann. Inst. Henri Poincaré, 8, 1968, 117-138. Zbl0173.29901MR225544
  3. [3] J. Dixmier, Les C*-algèbres et leurs représentations. Gauthier-Villars, 1964, Paris. Zbl0152.32902MR171173
  4. [4] H. Araki, Hamiltonian Formalism and the Canonical Commutation Relations in Quantum Field Theory. J. Math. Phys., 1, 1960, 492. Zbl0099.22906MR127821
  5. [5] Z. Takeda, Inductive limit and infinite direct product of operator algebras. Tôhoku Math. J., 7, 1955, 67-86. Zbl0065.34903MR74800
  6. [6] M.A. Naimark, Normed Rings. Noordhoff-Groningen, 1959, The Netherlands. Zbl0089.10102MR355601
  7. [7] J. Dieudonné, Fondements de l'analyse moderne. Gauthier-Villars, 1963, Paris. Zbl0114.26602MR161945
  8. [8] M.H. Stone, On one-parameter unitary groups in Hilbert space. Annals of Mathematics (2), 33, 1932, 643-648. Zbl0005.16403MR1503079
  9. [9] G.F. Dell'Antonio, S. Doplicher and D. Ruelle, A theorem on canonical commutation and anticommutation relations. Commun. Math. Phys., 2, 1966, 223-230. Zbl0178.58001MR204063
  10. [10] D. Kastler, Introduction à l'électrodynamique quantique. Dunod, 1961, Paris. Zbl0098.20004MR144659
  11. [11] J. Von Neumann, Die Eindentigkeit der Schrödingerschen Operators. Math. Ann., 104, 1931, 570. Zbl0001.24703JFM57.1446.01

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