Symmetries in synaptic algebras

DOI10.2478/s12175-014-0238-2zbMath1340.81004arXiv1304.4378OpenAlexW2073153457MaRDI QIDQ2877065

David J. Foulis, Sylvia Pulmannová

Publication date: 21 August 2014

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.4378

zbMATH Keywords

projectionJordan algebrasynaptic algebraorder-unit spacerelative center propertysymmetry equivalence of projections

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10)

Related Items (9)

Banach synaptic algebras ⋮ Every synaptic algebra has the monotone square root property ⋮ Spectral order on a synaptic algebra ⋮ Synaptic algebras as models for quantum mechanics ⋮ A Loomis-Sikorski theorem and functional calculus for a generalized Hermitian algebra ⋮ Kadison's antilattice theorem for a synaptic algebra ⋮ Observables on synaptic algebras ⋮ A projection and an effect in a synaptic algebra ⋮ Two projections in a synaptic algebra

Cites Work

• Centrally orthocomplete effect algebras
• Projections in a synaptic algebra
• Spectral resolution in an order-unit space
• Convex and linear effect algebras
• Generalized Hermitian algebras
• Synaptic algebras
• Modal operators on commutative residuated lattices
• Compressions on partially ordered abelian groups
• A note on ideals in synaptic algebras
• MONOTONE $\sigma$-COMPLETE RC-GROUPS

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