A C * -Algebra Approach to Field Theory

D. Kastler

Recherche Coopérative sur Programme n°25 (1968)

  • Volume: 4, page 1-17

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Kastler, D.. "A $C^*$-Algebra Approach to Field Theory." Recherche Coopérative sur Programme n°25 4 (1968): 1-17. <http://eudml.org/doc/274573>.

@article{Kastler1968,
author = {Kastler, D.},
journal = {Recherche Coopérative sur Programme n°25},
language = {eng},
pages = {1-17},
publisher = {Institut de Recherche Mathématique Avancée - Université Louis Pasteur},
title = {A $C^*$-Algebra Approach to Field Theory},
url = {http://eudml.org/doc/274573},
volume = {4},
year = {1968},
}

TY - JOUR
AU - Kastler, D.
TI - A $C^*$-Algebra Approach to Field Theory
JO - Recherche Coopérative sur Programme n°25
PY - 1968
PB - Institut de Recherche Mathématique Avancée - Université Louis Pasteur
VL - 4
SP - 1
EP - 17
LA - eng
UR - http://eudml.org/doc/274573
ER -

References

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  1. [1] R. Haag and D. KastlerAn algebraic approach to field theory (to be published) 
  2. [2] I.E. SegalPostulates for general quantum mechanics (Ann. of Math.48 p. 930 (1947) Zbl0034.06602MR22652
  3. [3] J.M.G. FellThe dual spaces of C* - algebras (Trans. Amer. Math. Soc.94, (1960) p. 365) Zbl0090.32803MR146681
  4. [4] R. HaagDiscussion des "axiomes" et des propriétés asymptotiques d'une théorie des champs locale avec particules composées (Colloques Internationaux du C.N.R.S. - Lille1957 p. 151) Zbl0090.19402
  5. [5] H. ArakiZürich mimeographed lectures (1962) 
  6. H. ArakiA lattice of Von Neumann Algebras associated with the Quantum Theory of a free Bose field (to be published) Zbl0132.43805
  7. H. ArakiVon Neumann algebras of local observables for free scalar field (to be published) Zbl0151.44401
  8. [6] H. Borehers R. Haag B. SchroerThe vacuum state in Quantum Field Theory (Nuovo Cimento29 p. 148 (1963)) Zbl0133.23301MR154607
  9. B. SchroerFortschritte der Physik (1963) 
  10. [7] R. HaagQuantum Field theory with composite particules and asymptotic conditions (Phys. Rev.112 p. 669 (1958)) Zbl0085.43602MR99859
  11. [8] T. TurumaruOn the direct product of operators algebras I - (Tôhoku Mathematical Journal4 (1953) p. 242-251, Zbl0049.08701MR54859
  12. T. TurumaruOn the direct product of operators algebras II - (Tôhoku Mathematical Journal5 (1953) p. 1-7) Zbl0051.34301MR57479
  13. [9] A. Guichardet to be published 
  14. [10] J. GlimmType I C* - algebras (Am. Math. 73 (1961) p. 572) Zbl0152.33002MR124756
  15. [11] R.V. KadisonStates and representations (Transl. Amer. Math. Soc.103 (1962) p. 304) Zbl0113.09702MR139019
  16. [12] R. Haag B. SchroerPostulates of quantum field theory (Journal Math. Phys.3 p. 248 (1962)) Zbl0125.21903MR138387

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