Extensions of states of C* -algebras, II

DOI10.1017/S0308210500019983zbMath0498.46047MaRDI QIDQ3963566

Kevin D. Gregson, John W. Bunce, Robert J. Archbold

Publication date: 1982

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

Choquet simplexMarkov-Kakutani fixed point theorempure statepostliminal*-closed face of the state spacemaximal abelian C*-subalgebra

Mathematics Subject Classification ID

States of selfadjoint operator algebras (46L30)

Related Items (12)

Unique pseudo-expectations for \(C^{*}\)-inclusions ⋮ The relative Dixmier property in discrete crossed products ⋮ Topologically free actions and ideals in discrete C*-dynamical systems ⋮ Exotic ideals in free transformation group C∗$\mathbf {C}^*$‐algebras ⋮ A Dixmier-Douady theorem for Fell algebras ⋮ Normalizers and approximate units for inclusions of C^*-algebras ⋮ On free transformation groups and C*-algebras ⋮ TRACES ARISING FROM REGULAR INCLUSIONS ⋮ On factor states of 𝐶*-algebras and their extensions ⋮ 𝐶*-algebras of homoclinic and heteroclinic structure in expansive dynamics ⋮ Extensions of pure states and projections of norm one ⋮ Intermediate C*-algebras of Cartan embeddings

Cites Work

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• Extreme points in sets of positive linear maps on \(\mathcal B (\mathcal H)\)
• Abelian faces of state spaces of C*-algebras
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• Approximate units and maximal Abelian \(C^*\)-subalgebras
• Maximale Integralzerlegungen invarianter positiv definiter Funktionen auf diskreten Gruppen
• Extensions of Pure States
• Extensions of States of C^* -Algebras
• Simplicity of C^* -Algebras of Minimal Dynamical Systems
• A maximal Abelian subalgebra of the Calkin algebra with the extension property.
• Integral Representations of Invariant States on B* Algebras
• On the Calkin Representations

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