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TMF, 2008, Volume 157, Number 3, Pages 406–412 (Mi tmf6288)  

Equivalence of commutation relations

E. I. Zelenov


Abstract: We consider $\mathcal C^*$-algebras of commutation relations over the fields $\mathbb Q_p$, $p=2,3,5,…,\infty$. 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

DOI: https://doi.org/10.4213/tmf6288

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English version:
Theoretical and Mathematical Physics, 2008, 157:3, 1707–1712

Bibliographic databases:

Received: 07.04.2008

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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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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