Quantum logics of idempotents or projections in \(C^\ast\)-algebras

DOI10.1134/S1995080212010076zbMath1258.81008OpenAlexW2070049678MaRDI QIDQ694468

M. C. Fu

Publication date: 12 December 2012

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080212010076

zbMATH Keywords

von Neumann algebraidempotentprojectionquantum logic\(C^\ast\)-algebrafinite von Neumann algebradisjunctivityalternativity

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Applications of selfadjoint operator algebras to physics (46L60) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Quantum logic (03G12)

Related Items (2)

Classification of rational functions in symplectic and metric spaces ⋮ Quantum logics of idempotents of unital rings

Cites Work

• Unnamed Item
• Orthomodular structures as quantum logics. Transl. from the Slovak
• Disjunctivity and alternativity on projection logics
• A class of nonlinear eigenvalue problems
• DISJUNCTIVITY AND ORTHODISJUNCTIVITY IN ORTHOMODULAR POSETS
• AF algebras with a lattice of projections.
• ON ALTERNATIVE ORTHOMODULAR POSETS

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