On the central Haagerup tensor product

DOI10.1017/S0013091500018782zbMath0793.46036OpenAlexW2075911152MaRDI QIDQ4289455

Pere Ara, Martin Mathieu

Publication date: 18 August 1994

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500018782

zbMATH Keywords

module tensor productvon Neumann factorlocal multiplier algebracompletely bounded operatorscentral Haagerup tensor product of a \(C^*\)-algebra

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) General theory of (C^*)-algebras (46L05) Linear operators on Banach algebras (47B48) Isometric theory of Banach spaces (46B04) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Tensor products in functional analysis (46M05)

Related Items

On the decomposition into Discrete, Type II and Type III C*-algebras, Approximation of Maps on C*-algebras by Completely Contractive Elementary Operators, Noncommutative boundaries and the ideal structure of reduced crossed products, Hulls of semiprime rings with applications to \(C^*\)-algebras., The structure of rings of quotients., The Apostol-Fialkow formula for elementary operators on Banach spaces, On the central Haagerup tensor product and completely bounded mappings of a \(C^*\)-algebra

Cites Work

• Unnamed Item
• A characterization of operator algebras
• Diagonalizing matrices over C(X)
• A local version of the Dauns-Hoffmann theorem
• Computing the symmetric ring of quotients
• Multilinear maps and tensor norms on operator systems
• Completely bounded multilinear maps and \(C^ *\)-algebraic cohomology
• Elementary operators on prime \(C^*\)-algebras. I
• The extend centroid of C*-algebras
• Tensor products of operator spaces
• Completely bounded module maps and the Haagerup tensor product
• The central Haagerup tensor product and maps between von Neumann algebras
• Automorphisms determined by multipliers on ideals of a \(C^*\)-algebra
• Approximating derivations on ideals of \(C^*\)-algebras
• On the vanishing of \(H^ n(\mathcal A,\mathcal A^*)\) for certain \(C^*\)- algebras
• The Dual of the Haagerup Tensor Product
• A Survey of Completely Bounded Operators
• On the Relative Reflexivity of Finitely Generated Modules of Operators
• A New Approach to Operator Spaces
• AN APPLICATION OF LOCAL MULTIPLIERS TO CENTRALIZING MAPPINGS OF C^*-ALGEBRAS
• On Matrices Over the Ring of Continuous Complex Valued Functions on a Stonian Space