Approximate Innerness of Positive Linear Maps of Finite von Neumann Algebras

DOI10.2307/2045236zbMath0579.46044OpenAlexW4249197842MaRDI QIDQ3701976

Hideo Takemoto

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2045236

zbMATH Keywords

completely positive linear mapsinner automorphism groupStinespring's theoremapproximate innerness for the finite von Neumann algebrasSakai's theorem

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) States of selfadjoint operator algebras (46L30) Automorphisms of selfadjoint operator algebras (46L40)

Related Items (1)

Approximate Innerness of Positive Linear Maps of Finite von Neumann Algebras. II

Cites Work

• Unnamed Item
• A new proof of the equivalence of injectivity and hyperfiniteness for factors on a separable Hilbert space
• A Schwarz inequality for positive linear maps on C\(^*\)-algebras
• On automorphism groups of \(II_1\)-factors
• The standard form of von Neumann algebras.
• Positive Functions on C ∗ -Algebras

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