Fronsdal *-quantization and Fell inducing

DOI10.1017/S0305004100064070zbMath0591.46048OpenAlexW2140057594MaRDI QIDQ3719295

Mark A. Hennings

Publication date: 1986

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100064070

zbMATH Keywords

annihilatorinduced representationsminimal idealmaximal left idealannihilator \(C^*\)-algebrasFronsdal inducingfull Hilbert algebraslocally multiplicatively convex semi-simple dual *-algebras satisfying (P1)representations of \(^*\)- algebrasstrongly orthocomplemented generalised Hilbert algebras

Mathematics Subject Classification ID

Representations of topological algebras with involution (46K10) General mathematical topics and methods in quantum theory (81Q99) Ordered rings, algebras, modules (06F25) Miscellaneous applications of functional analysis (46N99) Hilbert algebras (46K15)

Related Items (3)

Weyl quantization and star products ⋮ On complementing topological algebras ⋮ Obstruction results in quantization theory

Cites Work

• Fourier analysis on multiple representations of locally compact Abelian groups
• Some ideas about quantization
• Induced representations and Banach \(^*\)-algebraic bundles. With an appendix due to A. Douady and L. Dal Soglio-Herault
• Deformation theory and quantization. I: Deformations of symplectic structures
• Hilbert algebras as topological algebras
• Square-integrable representations of Hilbert algebras
• Dual rings
• Annihilator Rings^†
• Complementation for Right Ideals in Generalized Hilbert Algebras
• The Radical and Semi-Simplicity for Arbitrary Rings

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