On factorial states of operator algebras

DOI10.1016/0022-1236(84)90016-8zbMath0532.46036OpenAlexW2023619002MaRDI QIDQ788964

Robert J. Archbold

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0022-1236(84)90016-8

zbMATH Keywords

prime idealprime \(C^*\)-algebrafactorial state spaceGNS commutant

Mathematics Subject Classification ID

States of selfadjoint operator algebras (46L30)

Related Items (9)

Elementary operators on prime \(C^*\)-algebras. I ⋮ Elementary operators on prime C*-algebras II ⋮ The proof of inseparable prime \(AW^*\)-algebras being primitive \(C^*\)-algebras ⋮ On factor states of 𝐶*-algebras and their extensions ⋮ Computation Versus Formulae for Norms of Elementary Operators ⋮ On \(C^*\)-algebras whose Glimm ideals are primitive ⋮ Proof of inseparable prime \(C^*\)-algebras \(A\) with \(RR(A)=0\) being primitive \(C^*\)-algebras ⋮ Ideals of factors ⋮ Extensions of pure states and projections of norm one

Cites Work

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• Representations of uniformly hyperfinite algebras and their associated von Neumann rings
• Normed algebras
• States and Representations
• C^* -Tensor Norms and Slice Maps
• Density Theorems for the Centre of a C^* -Algebra
• Irreducible Module Homomorphisms of a Von Neumann Algebra into its Center
• Prime C-Algebras and Antilattices
• The Structure of Certain Operator Algebras
• Theory of operator algebras I.

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