Proof of inseparable prime \(C^*\)-algebras \(A\) with \(RR(A)=0\) being primitive \(C^*\)-algebras

DOI10.1007/BF02909702zbMath1005.46026MaRDI QIDQ701615

Jipu Ma, Lun Chuan Zhang

Publication date: 10 December 2002

Published in: Chinese Science Bulletin (Search for Journal in Brave)

zbMATH Keywords

close projectioncountable primitive idealshereditary \(C^*\)-algebrasopen projectionprime \(C^*\)-algebrasprimitive \(C^*\)-algebras

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Classifications of (C^*)-algebras (46L35)

Cites Work

• Irreducible representations of inseparable \(C^*\)-algebras
• A Stone-Weierstrass theorem for \(C^*\)-algebras
• On factorial states of operator algebras
• \(C^*\)-algebras of real rank zero
• The general Stone-Weierstrass problem
• Sur les $C^*$-algèbres
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