Geodesic
$H$-images of vector states and causal properties of local algebras
Teoretičeskaâ i matematičeskaâ fizika, Tome 15 (1973) no. 2, pp. 197-206 
V. N. Sushko; S. S. Horuzhy. $H$-images of vector states and causal properties of local algebras. Teoretičeskaâ i matematičeskaâ fizika, Tome 15 (1973) no. 2, pp. 197-206. http://geodesic.mathdoc.fr/item/TMF_1973_15_2_a2/
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     title = {$H$-images of vector states and causal properties of local algebras},
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Voir la notice de l'article provenant de la source Math-Net.Ru

The causal properties of nets of algebras of local observables (strict locality, causal independence, and the Schlieder property) are investigated in terms of H-images of vector states on local algebras. The relationships of these properties with one another and with the Haag–Araki postulates and the structure of local algebras are derived.

[1] V. N. Sushko, S. S. Khoruzhii, TMF, 13 (1972), 291

[2] S. S. Horuzhy, V. N. Sushko, Preprint JINR E2-5575, 1971

[3] V. N. Sushko, S. S. Khoruzhii, TMF, 4, 171 ; (1970), 341 ; 8 (1971), 324 | Zbl | MR | MR | Zbl

[4] J. M. Knight, J. Math. Phys., 2 (1961), 459 | DOI | MR | Zbl

[5] A. L. Licht, J. Math. Phys., 4 (1963), 1443 | DOI | MR | Zbl

[6] A. L. Licht, J. Math. Phys., 7 (1966), 1656 | DOI | MR | Zbl

[7] K. Kraus, Z. Phys., 181 (1964), 1 | DOI | MR | Zbl

[8] S. Schlieder, Commun. Math. Phys., 13 (1969), 216 | DOI | MR | Zbl

[9] R. Haag, D. Kastler, J. Math. Phys., 5 (1964), 848 | DOI | MR | Zbl

[10] H. Ekstein, Phys. Rev., 184 (1969), 1315 | DOI | MR

[11] W. W. Zachary, Preprint of Naval Research Laboratory, Washington, 1969

[12] H. Roos, Commun. Math. Phys., 16 (1970), 238 | DOI | MR | Zbl

[13] A. Schoch, Int. J. Theor. Phys., 1 (1968), 107 | DOI | MR

[14] E. Landau, Commun. Math. Phys., 13 (1969), 245 | DOI | MR

[15] J. Dixmier, Les algèbres d'operateurs dans l'éspace Hilbertien (les algèbres de von Neumann), 1-re ed., Paris, 1957 | MR

[16] H. J. Borchers, Commun. Math. Phys., 4 (1967), 315 | DOI | MR | Zbl

[17] S. Doplicher, R. Haag, J. E. Roberts, Commun. Math. Phys., 13 (1969), 1 ; 15 (1969), 173 ; 23 (1971), 199 | DOI | MR | Zbl | DOI | MR | Zbl | DOI | MR

[18] S. S. Khoruzhii, TMF, 5 (1970), 29 | MR