Implementation of Jordan-isomorphisms for general von Neumann algebras

A. Rieckers; H. Roos

Annales de l'I.H.P. Physique théorique (1989)

  • Volume: 50, Issue: 1, page 95-113
  • ISSN: 0246-0211

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Rieckers, A., and Roos, H.. "Implementation of Jordan-isomorphisms for general von Neumann algebras." Annales de l'I.H.P. Physique théorique 50.1 (1989): 95-113. <http://eudml.org/doc/76438>.

@article{Rieckers1989,
author = {Rieckers, A., Roos, H.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {von Neumann algebras; Jordan isomorphism; central decomposing projection; anti-homomorphism; partial isometries; standard implementation; implementation of groups of Jordan isomorphims; composition of the implementing operators},
language = {eng},
number = {1},
pages = {95-113},
publisher = {Gauthier-Villars},
title = {Implementation of Jordan-isomorphisms for general von Neumann algebras},
url = {http://eudml.org/doc/76438},
volume = {50},
year = {1989},
}

TY - JOUR
AU - Rieckers, A.
AU - Roos, H.
TI - Implementation of Jordan-isomorphisms for general von Neumann algebras
JO - Annales de l'I.H.P. Physique théorique
PY - 1989
PB - Gauthier-Villars
VL - 50
IS - 1
SP - 95
EP - 113
LA - eng
KW - von Neumann algebras; Jordan isomorphism; central decomposing projection; anti-homomorphism; partial isometries; standard implementation; implementation of groups of Jordan isomorphims; composition of the implementing operators
UR - http://eudml.org/doc/76438
ER -

References

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  1. [BR] O. Bratteli, D.W. Robinson, Operator Algebras and Quantum Statistical Mechanics, Springer, New York, 1979. MR545651
  2. [Co] A. Connes, Ann. Inst. Fourier, Grenoble, t. 24, 1974, p. 121. Zbl0287.46078MR377533
  3. [Dix] J. Dixmier, Les algèbres d'opérateurs dans l'espace Hilbertien, Gauthiers-Villars, Paris, 1969. Zbl0175.43801
  4. [DV] B. Demoen, P. Vanheuverzwijn, J. Funct. Analysis, t. 38, 1980, p. 354. Zbl0448.46041MR593085
  5. [E] G.G. Emch, Algebraic Methods in Statistical Mechanics and Quantum Field Theory, John Wiley and Sons, New York, 1972. Zbl0235.46085
  6. [Ha[ U. Haagerup, Math. Scand., t. 37, 1975, p. 271. Zbl0304.46044MR407615
  7. [HK] R. Haag, D. Kastler, J. Math. Phys., t. 5, 1964, p. 848. Zbl0139.46003
  8. [Ri] A. Rieckers in Groups, Systems and Many-Body Physics, P. Kramer and M. Dal Cin (eds), Vieweg, Braunschweig, 1980. MR578647
  9. [Ro1] H. Roos, Ann. Inst. Henri Poincaré, t. 42, 1985, p. 17. Zbl0575.46054
  10. [Ro2] H. Roos, Physica, t. 100 A, 1980, p. 183. 
  11. [RR] J.E. Roberts, G. Roepstorff, Commun. Math. Phys., t. 11, 1969, p. 321. Zbl0167.55806MR245275
  12. [SZ] S. Stràtilà, L. Zsidó, Lectures on von Neumann Algebras, Abacus Press, Turnbridge Wells, Kennt, 1979. Zbl0391.46048MR526399

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