Equivalence of commutation relations

DOI10.1007/s11232-008-0142-4zbMath1155.81343OpenAlexW2033047655MaRDI QIDQ1002677

E. I. Zelenov

Publication date: 2 March 2009

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-008-0142-4

zbMATH Keywords

irreducible representationcommutation relation\(p\)-adic topologyequivalence of representations

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Noncommutative geometry in quantum theory (81R60)

Cites Work

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• On factor representations and the \(C^ *\)-algebra of canonical commutation relations
• On the uniqueness of the Heisenberg commutation relations
• A theorem of Stone and von Neumann