Completely bounded isomorphisms of injective von Neumann algebras

DOI10.1017/S0013091500028716zbMath0651.46059OpenAlexW2011009262WikidataQ114117488 ScholiaQ114117488MaRDI QIDQ3796233

Allan M. Sinclair, Erik Christensen

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1017/s0013091500028716

zbMATH Keywords

conditional expectationdirect sumcompletely bounded projectioncompletely boundedly isomorphichyperfinite type \(II_ 1\) factorinjective von Neumann algebra with separable predualSchröder-Bernstein theorem for completely bounded normal linear embeddings

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10)

Related Items

Contractive projections and operator spaces, Seemingly injective von Neumann algebras, Completely bounded isomorphisms of operator algebras, The slice map problem and approximation properties, A noncommutative Amir-Cambern theorem for von Neumann algebras and nuclear \(C^\ast\)-algebras, Classification of hyperfinite factors up to completely bounded isomorphism of their preduals, Grothendieck spaces: the landscape and perspectives

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Subspaces of \(C^ *\)-algebras
• Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
• On tensor products of certain group \(C^*\)-algebras
• On rings of operators
• Isometries of operator algebras
• Completely Bounded Isomorphisms of Injective Operator Systems
• Perturbations of Banach Algebras