Traces on JW-algebras and enveloping \(W^ *\)-algebras

DOI10.1007/BF01168003zbMath0615.46057MaRDI QIDQ1820398

Shavkat A. Ayupov

Publication date: 1987

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173813

zbMATH Keywords

finitenessnormalityfaithfulnessdirect summanduniqueness of the extensionsemifinitenessenveloping \(W^ *\)-algebralocally modular JW-algebratrace on a reversible JW-algebra

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Nonassociative selfadjoint operator algebras (46L70)

Related Items

Reversible AJW-algebras ⋮ Enveloping -algebras and derivations of Baer JB-algebras ⋮ A new proof of the existence of traces on Jordan operator algebras and real von Neumann algebras ⋮ On center-valued traces on real operator algebras

Cites Work

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• The Radon-Nikodym theorem for weights on semifinite JBW-algebras
• Jordan algebras of type I
• TYPE I₂ JBW-ALGEBRAS
• Jordan algebras of self-adjoint operators
• Irreducible Jordan Algebras of Self-Adjoint Operators