Von Neumann algebras and Boolean valued analysis

DOI10.2969/JMSJ/03510001zbMath0488.46052OpenAlexW2017393363MaRDI QIDQ1166071

Gaisi Takeuti

Publication date: 1983

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/03510001

zbMATH Keywords

centerBoolean valued analysisgeneralized center valued tracegeneralized center valued weightvon Neumann's reduction theory

Mathematics Subject Classification ID

Boolean algebras (Boolean rings) (06E99) Classifications of (C^*)-algebras (46L35) Groups and semigroups of linear operators, their generalizations and applications (47D99)

Related Items (12)

Forcing in nonstandard analysis ⋮ Boolean valued Lie algebras ⋮ 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 ⋮ Unitary representations of the hyperfinite Heisenberg group and the logical extension methods in physics ⋮ Boolean valued interpretation of Banach space theory and module structures of von Neumann algebras ⋮ Two applications of Boolean valued analysis ⋮ A Boolean-valued approach to Gleason's theorem ⋮ An unconventional canonical quantization of local scalar fields over quantum space-time ⋮ Boolean Valued Analysis: Background and Results ⋮ Boolean valued analysis and type I \(AW^*\)-algebras

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