Geodesic
Three-particle Calogero model: Supertraces and ideals on the observables algebra
Teoretičeskaâ i matematičeskaâ fizika, Tome 116 (1998) no. 1, pp. 122-133

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The associative observables superalgebra of the three-particle Calogero model giving all its wave functions via the standard Fock procedure has two independent supertraces. When the coupling constant $\nu$ is $n\pm1/3$ or $n+1/2$, the existence of two independent supertraces leads to the existence of a nontrivial two-sided ideal in the observables superalgebra for any integer $n$. 
@article{TMF_1998_116_1_a4,
     author = {S. E. Konstein},
     title = {Three-particle {Calogero} model: {Supertraces} and ideals on the observables algebra},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {122--133},
     publisher = {mathdoc},
     volume = {116},
     number = {1},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1998_116_1_a4/}
}
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S. E. Konstein. Three-particle Calogero model: Supertraces and ideals on the observables algebra. Teoretičeskaâ i matematičeskaâ fizika, Tome 116 (1998) no. 1, pp. 122-133. http://geodesic.mathdoc.fr/item/TMF_1998_116_1_a4/