Simplicity of the quasilocal algebra of the system of canonical anticommutation relations with compact gauge group
Teoretičeskaâ i matematičeskaâ fizika, Tome 37 (1978) no. 1, pp. 3-11
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A study is made of a system of canonical anticommutation relations whose physical observables are distinguished by gauge invariance under an arbitrary compact gauge group. It is shown that the $C^*$-algebra of quasilocal observables of such a system is simple. In contrast to the usual methods of investigating canonical anticommutalion relations, the proof is based on the properties of local algebras.
@article{TMF_1978_37_1_a0,
author = {K. Yu. Dadashyan and S. S. Horuzhy},
title = {Simplicity of the quasilocal algebra of the system of canonical anticommutation relations with compact gauge group},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {3--11},
year = {1978},
volume = {37},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1978_37_1_a0/}
}
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K. Yu. Dadashyan; S. S. Horuzhy. Simplicity of the quasilocal algebra of the system of canonical anticommutation relations with compact gauge group. Teoretičeskaâ i matematičeskaâ fizika, Tome 37 (1978) no. 1, pp. 3-11. http://geodesic.mathdoc.fr/item/TMF_1978_37_1_a0/
[1] S. Doplicher, R. Haag, J. E. Roberts, Commun. Math. Phys., 13 (1969), 1 | DOI | MR | Zbl
[2] S. Doplicher, R. T. Powers, Commun. Math. Phys., 7 (1968), 77 | DOI | MR | Zbl
[3] E. Stormer, Commun. Math. Phys., 16 (1970), 136 | DOI | MR | Zbl
[4] Zh. Diksme, $C^*$-algebry i ikh predstavleniya, «Nauka», 1974 | MR
[5] V. N. Sushko, S. S. Khoruzhii, TMF, 4 (1970), 341
[6] V. N. Sushko, S. S. Khoruzhii, Preprint OIYaI E2-5575, Dubna, 1970
[7] R. Haag, R. V. Kadison, D. Kastler, Commun. Math. Phys., 16 (1970), 81 | DOI | MR | Zbl
[8] H. J. Borchers, Commun. Math. Phys., 4 (1967), 315 | DOI | MR | Zbl
[9] Zh. Emkh, Algebraicheskie metody v statisticheskoi mekhanike i kvantovoi teorii polya, «Mir», 1976 | MR