Geodesic
Criterion for the commutant of a quantized field to be algebraically closed
Teoretičeskaâ i matematičeskaâ fizika, Tome 5 (1970) no. 2, pp. 161-166 Cet article a éte moissonné depuis la source Math-Net.Ru

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A necessary and sufficient condition is formulated for the commutant [4–5] of a given quantized field to be algebraically closed (i.e., closed with respect to algebraic operations). If the field satisfies the usual Wightman axions, the assumption that its commutant is a $^*$ algebra implies that this $^*$ algebra is abelian. 
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     author = {A. N. Vasil'ev},
     title = {Criterion for the commutant of a~quantized field to be algebraically closed},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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A. N. Vasil'ev. Criterion for the commutant of a quantized field to be algebraically closed. Teoretičeskaâ i matematičeskaâ fizika, Tome 5 (1970) no. 2, pp. 161-166. http://geodesic.mathdoc.fr/item/TMF_1970_5_2_a0/

[1] H. J. Borchers, Nuovo Cim., 24 (1962), 214 | DOI | MR | Zbl

[2] H. J. Borchers, Nuovo Cim., 15 (1960), 784 | DOI | MR | Zbl

[3] M. A. Naimark, Normirovannye koltsa, «Nauka», 1968, str. 579 | MR | Zbl

[4] A. N. Vasilev, TMF, 2 (1970), 153 | MR

[5] A. N. Vasilev, TMF, 3 (1970), 24 | MR