Extensions of pure states and projections of norm one

DOI10.1006/jfan.1999.3407zbMath0949.46028OpenAlexW2080847595MaRDI QIDQ1300163

Robert J. Archbold

Publication date: 7 September 1999

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

Full work available at URL: https://doi.org/10.1006/jfan.1999.3407

zbMATH Keywords

primitive ideal spacepure statesextension propertyAF-algebraDixmier processexistence of a projection of norm oneKumjian's ultraliminary \(C^*\)-algebrasliminal \(C^*\)-algebra

Mathematics Subject Classification ID

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

Related Items

Geometric representation theory for unitary groups of operator algebras, A Dixmier-Douady theorem for Fell algebras, Hilbert C∗$C^*$‐module independence

Cites Work

• On factorial states of operator algebras
• Skew products of relations and the structure of simple \(C^*\)-algebras
• Characterization of \(C^*\)-algebras with continuous trace by properties of their pure states
• Extreme points in sets of positive linear maps on \(\mathcal B (\mathcal H)\)
• Tensor products of operator algebras
• Structure spaces of approximately finite-dimensional C*-algebras. II
• Upper multiplicity and bounded trace ideals in \(C^*\)-algebras
• Type I \(C^ *\)-algebras
• On the Stone-Weierstrass theorem of \(C^ *\)-algebras
• Symmetries of the CAR algebra
• Extensions of Pure States
• Nuclear subalgebras of UHF C*-algebras
• Perfect 𝐶*-algebras
• On C*-Diagonals
• Approximating Maps and a Stone-Weierstrass Theorem for C ∗ -Algebras
• Extensions of States of C^* -Algebras
• Simplexes of Extensions of States of C ∗ -Algebras
• Extensions of states of C* -algebras, II
• Simplicity of C^* -Algebras of Minimal Dynamical Systems
• A maximal Abelian subalgebra of the Calkin algebra with the extension property.
• Extensions, Restrictions, and Representations of States on C ∗ - Algebras
• Upper and Lower Multiplicity for Irreducible Representations of C^* -Algebras
• On factor states of 𝐶*-algebras and their extensions
• Locally compact transformation groups and 𝐶*- algebras
• On the Calkin Representations
• Inductive Limits of Finite Dimensional C ∗ -Algebras
• The Structure of Certain Operator Algebras
• Theory of operator algebras I.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item