@article{TMF_1981_46_2_a0,
author = {K. Yu. Dadashyan and S. S. Horuzhy},
title = {Conditional expectations on von {Neumann} algebras and the causal independence of quantized fields},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {147--156},
year = {1981},
volume = {46},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1981_46_2_a0/}
}
TY - JOUR AU - K. Yu. Dadashyan AU - S. S. Horuzhy TI - Conditional expectations on von Neumann algebras and the causal independence of quantized fields JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1981 SP - 147 EP - 156 VL - 46 IS - 2 UR - http://geodesic.mathdoc.fr/item/TMF_1981_46_2_a0/ LA - ru ID - TMF_1981_46_2_a0 ER -
%0 Journal Article %A K. Yu. Dadashyan %A S. S. Horuzhy %T Conditional expectations on von Neumann algebras and the causal independence of quantized fields %J Teoretičeskaâ i matematičeskaâ fizika %D 1981 %P 147-156 %V 46 %N 2 %U http://geodesic.mathdoc.fr/item/TMF_1981_46_2_a0/ %G ru %F TMF_1981_46_2_a0
K. Yu. Dadashyan; S. S. Horuzhy. Conditional expectations on von Neumann algebras and the causal independence of quantized fields. Teoretičeskaâ i matematičeskaâ fizika, Tome 46 (1981) no. 2, pp. 147-156. http://geodesic.mathdoc.fr/item/TMF_1981_46_2_a0/
[1] Haag R., Kastler D., “An algebraic approach to quantum field theory”, J. Math. Phys., 5:7 (1964), 848–861 | DOI | MR | Zbl
[2] Buchholz D., “Product states for local algebras”, Commun. Math. Phys., 36:4 (1974), 287–304 | DOI | MR | Zbl
[3] Dadashyan K. Yu., Khoruzhii S. S., “Algebry nablyudaemykh svobodnogo polya Diraka”, TMF, 36:2 (1978), 166–182 | MR
[4] Araki H., “A lattice of von Neumann algebras associated with the quantum theory of a free Bose field”, J. Math. Phys., 4:11 (1963), 1343–1362 ; “Von Neumann algebras of local observables for free scalar field”, J. Math. Phys., 5:1 (1964), 1–13 | DOI | MR | Zbl | DOI | MR | Zbl
[5] Sakai S., $C^*$-algebras and $W^*$-algebras, Springer-Verlag, 1971 | MR | Zbl
[6] Khoruzhii S. S., “Polya i algebry nablyudaemykh v modelyakh s pravilami superotbora. I: Model s abelevoi kalibrovochnoi gruppoi”, TMF, 15:3 (1975), 291–306
[7] Sushko V. N., Khoruzhii S. S., “Proobrazy vektornykh sostoyanii i prichinnye svoistva lokalnykh algebr”, TMF, 15:2 (1973), 197–206 | Zbl
[8] Dadashyan K. Yu., “Svoistva prichinnosti v nerelyativistskikh algebraicheskikh modelyakh”, TMF, 31:3 (1977), 333–338 | MR | Zbl
[9] Doplicher S., Haag R., Roberts J. E., “Fields observables and gauge transformations, I”, Commun. Math. Phys., 13:1 (1969), 1–23 | DOI | MR | Zbl
[10] Benfatto G., Nicolo F., “The local von Neumann algebras for the massless scalar free field and the free electromagnetic field”, J. Math. Phys., 19:3 (1978), 653–660 | DOI | MR
[11] Dixmier J., Les algèbres d'operateurs dans l'éspace hilbertien (les algèbres de von Neumann), 2-me éd, Gauthier-Villars, Paris, 1969 | MR