Nuclearity for dual operator spaces

DOI10.1007/s12044-010-0014-3zbMath1195.46057OpenAlexW2012920550MaRDI QIDQ968065

Jicheng Tao, Zhe Dong

Publication date: 3 May 2010

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-010-0014-3

zbMATH Keywords

operator spaceinjectivenuclear

Mathematics Subject Classification ID

Operator spaces and completely bounded maps (46L07) Classifications of (C^*)-algebras (46L35)

Cites Work

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• Subspaces of \(C^ *\)-algebras
• Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
• Separable nuclear \(C^*\)-algebras and injectivity
• On injectivity and nuclearity for operator spaces
• Local properties of ternary rings of operators and their linking \(C^{*}\)-algebras
• On subalgebras of the CAR-algebra
• On the local lifting property for operator spaces
• Integral mappings and the principle of local reflexivity for noncommutative \(L^1\)-spaces
• Weak\(^{*}\) exactness for dual operator spaces

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