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Teoreticheskaya i Matematicheskaya Fizika, 2008, Volume 157, Number 3, Pages 406–412
DOI: https://doi.org/10.4213/tmf6288 (Mi tmf6288) 		 
Equivalence of commutation relations

E. I. Zelenov
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DOI: https://doi.org/10.4213/tmf6288
Abstract: 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 $p$.
Keywords: commutation relation, $p$-adic topology, irreducible representation, equivalence of representations.
Received: 07.04.2008
English version:
Theoretical and Mathematical Physics, 2008, Volume 157, Issue 3, Pages 1707–1712
DOI: https://doi.org/10.1007/s11232-008-0142-4
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Language: Russian
Citation: E. I. Zelenov, “Equivalence of commutation relations”, TMF, 157:3 (2008), 406–412; Theoret. and Math. Phys., 157:3 (2008), 1707–1712
Citation in format AMSBIB
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