A CONTINUUM OF C*-NORMS ON (H) ⊗ (H) AND RELATED TENSOR PRODUCTS

DOI10.1017/S0017089515000257zbMath1408.46051arXiv1404.7088MaRDI QIDQ2806141

Narutaka Ozawa, Gilles Pisier

Publication date: 13 May 2016

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.7088

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Operator spaces and completely bounded maps (46L07) Tensor products of (C^*)-algebras (46L06) Free products of (C^*)-algebras (46L09)

Related Items (4)

\({\ast}\)-freeness in finite tensor products ⋮ On \(C^\ast\)-norms on \(\mathbb{Z}_2\)-graded tensor products ⋮ C*‐norms for tensor products of discrete group C*‐algebras ⋮ The Connes embedding problem: A guided tour

Cites Work

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• Remarks on \(B(H)\otimes B(H)\)
• An analytic series of irreducible representations of the free group
• Extreme points in sets of positive linear maps on \(\mathcal B (\mathcal H)\)
• On tensor products of certain group \(C^*\)-algebras
• On non-semisplit extensions, tensor products and exactness of group \(C^*\)-algebras
• An analytic family of uniformly bounded representations of free groups
• Bilinear forms on exact operator spaces and \(B(H) \otimes B(H)\)
• Quantum expanders and geometry of operator spaces
• Property T and Approximation of Operators

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