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

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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},
     pages = {161--166},
     publisher = {mathdoc},
     volume = {5},
     number = {2},
     year = {1970},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1970_5_2_a0/}
}
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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/