Geodesic
Topological properties of the commutant of a field algebra representation
Teoretičeskaâ i matematičeskaâ fizika, Tome 11 (1972) no. 1, pp. 19-22 
N. V. Borisov. Topological properties of the commutant of a field algebra representation. Teoretičeskaâ i matematičeskaâ fizika, Tome 11 (1972) no. 1, pp. 19-22. http://geodesic.mathdoc.fr/item/TMF_1972_11_1_a2/
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     title = {Topological properties of the commutant of a field algebra representation},
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that the strict commutant of a closed representation of a topological $^*$-algebra is a $W^*$-algebra.

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

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

[3] D. Ruelle, Helv. Phys. Acta, 35 (1962), 1 | MR

[4] A. N. Vasilev, TMF, 5 (1970), 161 | Zbl

[5] L. V. Kantorovich, G. P. Akilov, Funktsionalnyi analiz v normirovannykh prostranstvakh, Fizmatgiz, 1959 | MR