A topological characterization of linearity for quasi-traces

DOI10.1090/S0002-9939-96-03288-1zbMath0859.46041OpenAlexW1967244050MaRDI QIDQ4896153

Leslie J. Bunce, J. D. Maitland Wright

Publication date: 4 December 1996

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-96-03288-1

zbMATH Keywords

\(C^*\)-algebraquasi-traceuniformly weakly continuous

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) States of selfadjoint operator algebras (46L30)

Related Items (2)

Dye's theorem and Gleason's theorem for \(AW^\ast\)-algebras ⋮ Isomorphisms of ordered structures of Abelian \(C^*\)-subalgebras of \(C^*\)-algebras

Cites Work

• Dimension functions and traces on C*-algebras
• Homomorphisms of C* algebras to finite AW* algebras
• Skew-symmetric functions on the sphere and quantum measures
• Quasi-states and quasi-measures
• Measures on projections and physical states
• Quasitraces on exact C*-algebras are traces
• Finitely Additive Measures on Projections in Finite W^* -Algebras
• The Mackey-Gleason Problem for Vector Measures on Projections in Von Neumann Algebras
• Physical States on a C ∗ -Algebra
• On Matrices Over the Ring of Continuous Complex Valued Functions on a Stonian Space
• Quasi-States on C ∗ -Algebras

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