The covariant Stone-von Neumann theorem for actions of abelian groups on \(C^* \)-algebras of compact operators

DOI10.1007/s00220-019-03664-5zbMath1459.46063arXiv1903.09351OpenAlexW2923590853MaRDI QIDQ778811

Lara Ismert, Leonard T. Huang

Publication date: 20 July 2020

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

Full work available at URL: https://arxiv.org/abs/1903.09351

zbMATH Keywords

Weyl commutation relationStone-von Neumann theoremTakai-Takesaki duality

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Automorphisms of selfadjoint operator algebras (46L40)

Cites Work

• Analytic vectors
• The structure of imprimitivity algebras
• A generalization of the Stone-von Neumann theorem to nonregular representations of the CCR-algebra
• Die Eindeutigkeit der Schrödingerschen Operatoren
• Induced representations of C\(^*\)-algebras
• On the uniqueness of the Heisenberg commutation relations
• A theorem of Stone and von Neumann
• On crossed products and Takai duality
• Hilbert 𝐶*-modules in which all closed submodules are complemented
• Crossed Products by Hecke Pairs
• Unitary Operators on Hilbert C^* -Modules
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