The slice map problem and approximation properties

DOI10.1016/0022-1236(91)90138-UzbMath0747.46046MaRDI QIDQ1180632

Jon Kraus

Publication date: 27 June 1992

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

Fubini productvon Neumann factors\(\sigma\)-weak approximation propertyslice map problem

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Spaces of operators; tensor products; approximation properties (46B28) Invariant subspaces of linear operators (47A15) Classifications of (C^*)-algebras (46L35)

Related Items

APPROXIMATION PROPERTIES FOR CROSSED PRODUCTS BY ACTIONS AND COACTIONS, Bilinear forms on exact operator spaces and \(B(H) \otimes B(H)\), Approximation properties for noncommutative \(L_p\)-spaces associated with discrete groups, Von Neumann equivalence and properly proximal groups, Factorization of completely bounded maps through reflexive operator spaces with applications to weak almost periodicity, The Fubini product and its applications, Amplification of completely bounded operators and Tomiyama's slice maps., Completely bounded module maps and the Haagerup tensor product, Property \(\Pi_{\sigma}\) and tensor products of operator algebras, The Hopf structure of some dual operator algebras, The approximation property and exactness of locally compact groups, Exactness of locally compact groups, Operator synthesis and tensor products, The tensor product problem for reflexive algebras, REFLEXIVITY OF THE TRANSLATION-DILATION ALGEBRAS ON L²(ℝ), Correspondences and Approximation Properties for von Neumann Algebras

Cites Work

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• Dilation theory and systems of simultaneous equations in the predual of an operator algebra. I
• Reflexive algebras with finite width lattices: Tensor products, cohomology, compact perturbations
• Some counterexamples in nonselfadjoint algebras
• Fubini products of \(C^*\)-algebras
• Algebras of subnormal operators
• B(H) does not have the approximation property
• Tensor products of operator spaces
• On hyperfinite factors of type III\(_0\) and Krieger's factors
• Tensor products and approximation problems of \(C^*\)-algebras
• Injectivity and operator spaces
• On tensor products of certain group \(C^*\)-algebras
• Stable isomorphism of hereditary subalgebras of \(C^*\)-algebras
• Tensor products of operator algebras
• An example of a non nuclear C*-algebra, which has the metric approximation property
• On matricially normed spaces
• \(C^*\)-algebras and \(W^*\)-algebras.
• Lifting problems and local reflexivity for \(C^ *\)-algebras
• Completely bounded multipliers of the Fourier algebra of a simple Lie group of real rank one
• On the cross-norm of the direct product of \(C^ *\)-algebras
• Duality and the injective tensor product
• On some \(C^ *\)-algebras considered by Glimm
• Applications of Fubini type theorem to the tensor products of \(C^ *\)- algebras
• On the tensor products of von Neumann algebras
• Equivalence of normal states on von Neumann algebras and the flow of weights
• Group C*-algebras without the completely bounded approximation property
• Completely Bounded Isomorphisms of Injective Operator Systems
• Tensor Products of Reflexive Algebras
• Tensor Products of Reflexive Algebras II
• The Slice Map Problem for σ-Weakly Closed Subspaces of Von Neumann Algebras
• A Note on Rank-One Operators in Reflexive Algebras
• Multipliers of the Fourier Algebras of Some Simple Lie Groups and Their Discrete Subgroups
• Completely bounded isomorphisms of injective von Neumann algebras
• C^* -Tensor Norms and Slice Maps
• A Simple C^*-Algebra Generated by Two Finite-Order Unitaries
• The Slice Map Problem for C*-Algebras
• A Reduction Theory For Non-Self-Adjoint Operator Algebras
• Approximation Properties for Group C∗-Algebras and Group Von Neumann Algebras
• The tensor product problem for reflexive algebras
• ON APPROXIMATION PROPERTIES FOR OPERATOR SPACES
• Une classification des facteurs de type ${\rm III}$
• On Invariant Subspaces and Reflexive Algebras
• Produits tensoriels topologiques et espaces nucléaires
• Theory of operator algebras I.