Ideals of factors

DOI10.1007/BF02874776zbMath1150.46024MaRDI QIDQ997591

J. D. Maitland Wright, Kazuyuki Saitô

Publication date: 7 August 2007

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

zbMATH Keywords

prime ideals\(C^*\)-algebrasprimitive idealsvon Neumann factors\(AW^*\)-factors

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) General theory of (C^*)-algebras (46L05)

Related Items (3)

Purity of the embeddings of operator systems into their \(C^\ast \)- and injective envelopes ⋮ The regular completion of a C*-algebra with large projections ⋮ On \(C^*\)-algebras whose Glimm ideals are primitive

Cites Work

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• Irreducible representations of inseparable \(C^*\)-algebras
• Some connections between topological and algebraic properties in rings of operators
• The ideals in a factor
• A Stone-Weierstrass theorem for \(C^*\)-algebras
• On factorial states of operator algebras
• On derivations of AW*-algebras
• The proof of inseparable prime \(AW^*\)-algebras being primitive \(C^*\)-algebras
• A prime \(C^{*}\)-algebra that is not primitive
• The local multiplier algebra of a C\(^*\)-algebra. II
• A reduction for algebras of finite type
• The lattice theoretic background of the dimension theory of operator algebras
• ON TENSOR PRODUCTS OF MONOTONE COMPLETE ALGEBRAS
• Wild AW^* -Factors and Kaplansky-Rickart Algebras
• Wild, Type III, Monotone Complete, Simple C ∗-Algebras Indexed by Cardinal Numbers
• Primitive Ideals in Von Neumann Algebras
• The Structure of Certain Operator Algebras

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