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},
publisher = {mathdoc},
volume = {37},
number = {1},
year = {1978},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1978_37_1_a0/}
}
TY - JOUR AU - K. Yu. Dadashyan AU - S. S. Horuzhy TI - Simplicity of the quasilocal algebra of the system of canonical anticommutation relations with compact gauge group JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1978 SP - 3 EP - 11 VL - 37 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1978_37_1_a0/ LA - ru ID - TMF_1978_37_1_a0 ER -
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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/