Type-decomposition of a synaptic algebra

DOI10.1007/s10701-013-9727-3zbMath1293.81008arXiv1305.2321OpenAlexW3105773193MaRDI QIDQ368077

David J. Foulis, Sylvia Pulmannová

Publication date: 18 September 2013

Published in: Foundations of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.2321

zbMATH Keywords

von Neumann algebra\(JW\)-algebraprojection latticesynaptic algebratype decompositiontype I/II/IIItype-determining set

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) General theory of von Neumann algebras (46L10) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Quantum logic (03G12) Decomposition theory for (C^*)-algebras (46L45)

Related Items (12)

Banach synaptic algebras ⋮ Every synaptic algebra has the monotone square root property ⋮ Vector lattices in synaptic algebras ⋮ Spectral order on a synaptic algebra ⋮ States and synaptic algebras ⋮ 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 ⋮ Commutativity in a synaptic algebra ⋮ Two projections in a synaptic algebra

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