A new proof of the existence of traces on Jordan operator algebras and real von Neumann algebras

DOI10.1016/0022-1236(89)90100-6zbMath0684.46055OpenAlexW2027305287MaRDI QIDQ1825415

Shavkat A. Ayupov

Publication date: 1989

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(89)90100-6

zbMATH Keywords

reversibleJW-algebracharacterization of modular JW-algebras by the existence of sufficiently many finite normal tracesenveloping von Neumann algebra of a modular reversible JW-algebra is finitelattice of its projectionsweakly closed Jordan algebra of bounded selfadjoint linear operators of a Hilbert space

Mathematics Subject Classification ID

Nonassociative selfadjoint operator algebras (46L70) Nonassociative topological algebras (46H70)

Related Items (2)

Boundedness of completely additive measures with application to 2-local triple derivations ⋮ On center-valued traces on real operator algebras

Cites Work

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• Real structure in the hyperfinite factor
• Extensions of traces and type criterions for Jordan algebras of self- adjoint operators
• Traces on JW-algebras and enveloping \(W^ *\)-algebras
• Jordan algebras of type I
• AUTOMORPHISMS OF SPIN FACTORS AND THE DECOMPOSITION OF POSITIVE MAPS
• JW-FACTORS AND ANTIAUTOMORPHISMS OF VON NEUMANN ALGEBRAS
• TYPE I₂ JBW-ALGEBRAS
• Real Structure in σ-Finite Factors of Type III_λ where 0 < λ < 1
• Jordan algebras of self-adjoint operators
• Theory of operator algebras I.

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