scientific article; zbMATH DE number 2172833

zbMath1068.06018MaRDI QIDQ4680229

David J. Foulis

Publication date: 7 June 2005

Full work available at URL: https://eudml.org/doc/34584

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zbMATH Keywords

\(C^*\)-algebraBoolean algebraprojectionorthomodular posetcompressioneffect algebrapartially ordered abelian groupgeneral comparabilityinterpolation groupprojection coversharp effect

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Complemented lattices, orthocomplemented lattices and posets (06C15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Quantum logic (03G12) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items (13)

Polar decomposition in e-rings ⋮ Spectral resolution in a Rickart comgroup ⋮ The universal group of a Heyting effect algebra ⋮ Compression bases in unital groups ⋮ Spectrality in convex sequential effect algebras ⋮ Spectral order unit spaces and JB-algebras ⋮ Cartesian product of compressible effect algebras ⋮ Effect algebras with compressions ⋮ Compressible effect algebras ⋮ Symmetries on partially ordered Abelian groups ⋮ Spectral resolution in an order-unit space ⋮ Geometric and algebraic aspects of spectrality in order unit spaces: a comparison ⋮ Spectral resolutions in Dedekind \(\sigma\)-complete \(\ell\)-groups

Cites Work

• Removing the torsion from a unital group.
• Orthomodular structures as quantum logics. Transl. from the Slovak
• The transition to unigroups
• Interval and scale effect algebras
• The center of an effect algebra
• Convex and linear effect algebras
• Examples, problems, and results in effect algebras
• Blocks of homogeneous effect algebras
• Directed Abelian Groups, Countably Continuous Rings, and Rickart C^* -Algebras
• On the geometry of noncommutative spectral theory
• Compressions on partially ordered abelian groups
• Order Properties of Bounded Self-Adjoint Operators
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