Equivalence of norms on operator space tensor products of $C^\ast $-algebras

DOI10.1090/S0002-9947-98-02190-4zbMath0906.46043MaRDI QIDQ4382993

Ajay Kumar, Allan M. Sinclair

Publication date: 24 March 1998

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

\(C^*\)-algebrassecond dualHaagerup normoperator space projective normBanach space projective norm

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Tensor products in functional analysis (46M05)

Related Items (13)

Automorphisms of the Banach space projective tensor product of \(C^\ast\)-algebras ⋮ Haagerup tensor product of \(C^\ast\)-ternary rings ⋮ Operator space tensor products of \(C^*\)-algebras ⋮ The Operator Space Projective Tensor Product: Embedding into the Second Dual and Ideal Structure ⋮ On derivations and elementary operators on C*-algebras ⋮ The bidual of a tensor product of Banach spaces ⋮ Biduals of tensor products in operator spaces ⋮ Operator space tensor products and inductive limits ⋮ Unbounded violation of tripartite Bell inequalities ⋮ Geometry of \(C^\ast \)-algebras, and the bidual of their projective tensor product ⋮ Spectra of elements in operator space tensor products of \(\mathrm{C}^{\ast}\)-algebras ⋮ IDEALS IN OPERATOR SPACE PROJECTIVE TENSOR PRODUCT OF C^*-ALGEBRAS ⋮ Rough index theory on spaces of polynomial growth and contractibility

Cites Work

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• Multilinear maps and tensor norms on operator systems
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• Tensor products of operator spaces
• Completely bounded module maps and the Haagerup tensor product
• Grothendieck's theorem for noncommutative \(C^*\)-algebras, with an appendix on Grothendieck's constants
• INVOLUTION AND THE HAAGERUP TENSOR PRODUCT
• The Dual of the Haagerup Tensor Product
• The Haagerup Type Cross Norm on C ∗ -Algebras
• Completely Bounded Maps between C^∗ -Algebras
• A Survey of Completely Bounded Operators
• Geometry of the tensor product of C*-algebras
• C^* -Tensor Norms and Slice Maps
• A New Approach to Operator Spaces
• Tensor Products of Operator Spaces II
• ON APPROXIMATION PROPERTIES FOR OPERATOR SPACES
• Projective tensor products of $C^*$-algebras.
• Cohomology of operator algebras. III : reduction to normal cohomology

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