On the reducibility of the Weyl algebra for a semibounded space

DOI10.1007/S11005-009-0334-3zbMath1190.47041OpenAlexW2006973055MaRDI QIDQ1034791

Luciano Bracci, Luigi Ettore Picasso

Publication date: 6 November 2009

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11005-009-0334-3

zbMATH Keywords

Weyl commutation relationsvon Neumann algebras

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Groups and semigroups of linear operators (47D03) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (2)

Representations of the weak Weyl commutation relation ⋮ On the identity of some von Neumann algebras and some consequences

Cites Work

• Self-adjoint time operators and invariant subspaces
• On the uniqueness of weak Weyl representations of the canonical commutation relation
• Die Eindeutigkeit der Schrödingerschen Operatoren
• On the Heisenberg commutation relation. I
• One-parameter semigroups of isometric operators in Hilbert space
• On rings of operators. Reduction theory
• On the Weyl algebras for systems with semibounded and bounded configuration space

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