Amplification of completely bounded operators and Tomiyama's slice maps.

DOI10.1016/j.jfa.2002.04.002zbMath1090.46043arXivmath/0201078OpenAlexW1980009828MaRDI QIDQ1427627

Matthias Neufang

Publication date: 14 March 2004

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

Full work available at URL: https://arxiv.org/abs/math/0201078

zbMATH Keywords

von Neumann algebratensor productamplificationcompletely bounded operatordual operator spaceprojective operator spaceproperty \(S_\sigma\)Tomiyama's slice maps

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Operator spaces and completely bounded maps (46L07) Operator spaces (= matricially normed spaces) (47L25) Tensor products of (C^*)-algebras (46L06) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

Related Items (2)

Convolution semigroups of states ⋮ Actions, quotients and lattices of locally compact quantum groups

Cites Work

• The space of completely bounded module homomorphisms
• The slice map problem and approximation properties
• The central Haagerup tensor product and maps between von Neumann algebras
• Tensor products of operator algebras
• The commutation theorem for tensor products over von Neumann algebras
• A bicommutant theorem for completely bounded module homomorphisms
• The similarity degree of an operator algebra. II
• On tensor products of von Neumann algebras
• The Slice Map Problem for σ-Weakly Closed Subspaces of Von Neumann Algebras
• Multipliers of the Fourier Algebras of Some Simple Lie Groups and Their Discrete Subgroups
• ON APPROXIMATION PROPERTIES FOR OPERATOR SPACES
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