Operator space tensor products of \(C^*\)-algebras

DOI10.1007/s00209-008-0301-1zbMath1165.46030OpenAlexW2085229559MaRDI QIDQ957903

Ranjana Jain, Ajay Kumar

Publication date: 1 December 2008

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-008-0301-1

zbMATH Keywords

\(C^*\)-algebrascompletely bounded operatorsHaagerup normoperator space projective norm

Mathematics Subject Classification ID

Operator spaces and completely bounded maps (46L07) Tensor products of (C^*)-algebras (46L06)

Related Items (8)

On Banach space projective tensor product of \(C^*\)-algebras ⋮ Automorphisms of the Banach space projective tensor product of \(C^\ast\)-algebras ⋮ Symmetry and quasi-centrality of the operator space projective tensor product ⋮ Polynomials in operator space theory: matrix ordering and algebraic aspects ⋮ The Operator Space Projective Tensor Product: Embedding into the Second Dual and Ideal Structure ⋮ On closed Lie ideals and center of generalized group algebras ⋮ Spectra of elements in operator space tensor products of \(\mathrm{C}^{\ast}\)-algebras ⋮ IDEALS IN OPERATOR SPACE PROJECTIVE TENSOR PRODUCT OF C^*-ALGEBRAS

Cites Work

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• The Effros-Ruan conjecture for bilinear forms on \(C^{*}\)-algebras
• The Grothendieck inequality for bilinear forms on \(C^*\)-algebras
• Multilinear maps and tensor norms on operator systems
• Self-duality for the Haagerup tensor product and Hilbert space factorizations
• Tensor products of operator spaces
• Completely bounded module maps and the Haagerup tensor product
• Grothendieck's theorem for operator spaces
• Geometry of the tensor product of C*-algebras
• On the Centre of a Tensor Product of C^* -Algebras
• THE CENTRE OF THE TENSOR PRODUCT OF A(K)-SPACES AND C^*-ALGEBRAS
• Equivalence of norms on operator space tensor products of $C^\ast $-algebras
• A Commutation Result for Tensor Products of C ^* -Algebras
• ON APPROXIMATION PROPERTIES FOR OPERATOR SPACES
• Operator space projective tensor product of \(C^*\)-algebras

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