Boolean valued analysis and type I \(AW^*\)-algebras

DOI10.3792/PJAA.59.368zbMath0581.46047OpenAlexW2069851367MaRDI QIDQ1067558

Masanao Ozawa

Publication date: 1983

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.59.368

zbMATH Keywords

Boolean valued analysishomogeneous \(AW^*\)-algebra of type I

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Classifications of (C^*)-algebras (46L35) Nonclassical models (Boolean-valued, sheaf, etc.) (03C90)

Related Items (8)

Forcing in nonstandard analysis ⋮ Quantum set theory: transfer principle and De Morgan's laws ⋮ Quantum set theory extending the standard probabilistic interpretation of quantum theory ⋮ Boolean methods in positivity ⋮ A Note on Representing and Interpreting MV-Algebras ⋮ Commutators and decompositions of orthomodular lattices ⋮ Partially ordered Baer involutive algebras ⋮ Boolean Valued Analysis: Background and Results

Cites Work

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• Boolean valued interpretation of Hilbert space theory
• A classification of type I \(AW^*\)-algebras and Boolean valued analysis
• Von Neumann algebras and Boolean valued analysis
• Algebras of type I
• A transfer principle in harmonic analysis
• Two Applications of Logic to Mathematics
• Modules Over Operator Algebras

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