Geodesic
Equivalence of commutation relations
Teoretičeskaâ i matematičeskaâ fizika, Tome 157 (2008) no. 3, pp. 406-412

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We consider $\mathcal C^*$-algebras of commutation relations over the fields $\mathbb Q_p$, $p=2,3,5,\dots,\infty$. We describe all the irreducible separable representations of these algebras. We prove that the algebras are not isomorphic at different $p$.
Mots-clés : commutation relation
Keywords: $p$-adic topology, irreducible representation, equivalence of representations. 
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     author = {E. I. Zelenov},
     title = {Equivalence of commutation relations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {406--412},
     publisher = {mathdoc},
     volume = {157},
     number = {3},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2008_157_3_a6/}
}
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E. I. Zelenov. Equivalence of commutation relations. Teoretičeskaâ i matematičeskaâ fizika, Tome 157 (2008) no. 3, pp. 406-412. http://geodesic.mathdoc.fr/item/TMF_2008_157_3_a6/