Geodesic
Fields and local observables in an~axiomatic algebraic theory with superselection rules
Teoretičeskaâ i matematičeskaâ fizika, Tome 5 (1970) no. 1, pp. 10-24

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The problem of constructing fields from local observables is considered in the framework of a concrete algebraic theory with superselection rules proposed recently by V. N. Sushko and the author. The possibility of using the methods developed by Doplicher, Haag, and Roberts is discussed. A number of preliminary results in this direction is obtained: 1) the set of cyclic and separating vectors of the local observable algebras of coherent superselection sectors is described in detail; 2) physical equivalence of the coherent sectors is proved anda considerable number of criteria is deduced for the local unitary equivalence of the sectors; 3) a necessary condition for duality is found and the relation between the duality properties and local unitary equivalence is clarified. 
@article{TMF_1970_5_1_a1,
     author = {S. S. Horuzhy},
     title = {Fields and local observables in an~axiomatic algebraic theory with superselection rules},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {10--24},
     publisher = {mathdoc},
     volume = {5},
     number = {1},
     year = {1970},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1970_5_1_a1/}
}
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S. S. Horuzhy. Fields and local observables in an~axiomatic algebraic theory with superselection rules. Teoretičeskaâ i matematičeskaâ fizika, Tome 5 (1970) no. 1, pp. 10-24. http://geodesic.mathdoc.fr/item/TMF_1970_5_1_a1/