Maps with the unique extension property and \({C}^\ast\)-extreme points

DOI10.1007/s11785-017-0693-1zbMath1407.46047OpenAlexW2619721584MaRDI QIDQ1623866

Bojan Magajna

Publication date: 23 November 2018

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-017-0693-1

zbMATH Keywords

completely positive maps\(\mathrm{C}^\ast\)-extreme pointsoperator bimodules

Mathematics Subject Classification ID

(C^*)-modules (46L08) Operator spaces and completely bounded maps (46L07) General theory of (C^*)-algebras (46L05) Convex sets and cones of operators (47L07)

Related Items (1)

\(C^\ast\)-extreme maps and nests

Cites Work

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• Every convex free basic semi-algebraic set has an LMI representation
• Pure matrix states on operator systems
• Fixed points of normal completely positive maps on B\((\mathcal H)\)
• A Stone-Weierstrass theorem for \(C^*\)-algebras
• The Choquet boundary of an operator system
• The central Haagerup tensor product and maps between von Neumann algebras
• A topology for operator modules over \(W^*\)-algebras
• The noncommutative Choquet boundary. II: Hyperrigidity
• Theory of operator algebras. II
• \(C^*\)-convex sets and completely positive maps
• On the convex structure of process positive operator valued measures
• Fixed points for Lüders operations and commutators
• The noncommutative Choquet boundary
• C ∗ -Extreme Points
• The Krein-Milman theorem in operator convexity
• The Structure of C^*-Convex Sets
• 𝐶*-extreme points in the generalised state spaces of a 𝐶*-algebra
• The structure of $C^*$-extreme points in spaces of completely positive linear maps on $C^*$-algebras
• C^*-Convexity and the Numerical Range
• Extremal Matrix States on Operator Systems
• C*-convex sets and completely bounded bimodule homomorphisms
• On C$^*$-extreme points
• Module Homomorphisms of a Von Neumann Algebra Into its Center
• Inner Product Modules Over B ∗ -Algebras
• Modules Over Operator Algebras

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