The predual of \(W^{*}\)-tensor products over \(W^{*}\)-subalgebras (separable case).

DOI10.1016/j.jfa.2003.06.004zbMath1062.46049OpenAlexW1975157230MaRDI QIDQ1431784

Francesco Fidaleo

Publication date: 11 June 2004

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2003.06.004

zbMATH Keywords

von Neumann algebramodulefactorspredualbimoduledual Banach spacesprojective tensor productoperator spacespolarcompletely bounded mapsspatial tensor productW\(^*\)-algebra

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Operator spaces and completely bounded maps (46L07) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Tensor products of (C^*)-algebras (46L06) General module theory in associative algebras (16D10)

Cites Work

• Unnamed Item
• Unnamed Item
• Interpolation by type I factors and the flip automorphism
• Nuclear maps and modular structures. I: General properties
• The commutation theorem for tensor products over von Neumann algebras
• The Grothendieck-Pietsch and Dvoretzky-Rogers theorems for operator spaces
• Nuclear maps and modular structures. II: Applications to quantum field theory
• On the split property for inclusions of $W^{*}$-algebras
• A New Approach to Operator Spaces
• ON APPROXIMATION PROPERTIES FOR OPERATOR SPACES
• Operator space structures and the split property II
• Theory of operator algebras I.