Dual operator algebras close to injective von Neumann algebras

DOI10.2140/pjm.2018.293.407zbMath1393.46045arXiv1104.0517OpenAlexW2963409797WikidataQ114045254 ScholiaQ114045254MaRDI QIDQ1683518

Jean Roydor

Publication date: 1 December 2017

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.0517

zbMATH Keywords

operator spacenonselfadjoint operator algebrasinjective von Neumann algebrasKadison-Kastler conjecture

Mathematics Subject Classification ID

Operator spaces and completely bounded maps (46L07) Dual algebras; weakly closed singly generated operator algebras (47L45) Representations of (nonselfadjoint) operator algebras (47L55)

Cites Work

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• Abelian, amenable operator algebras are similar to \(C^{\ast}\)-algebras
• Perturbations of nuclear \(C^*\)-algebras
• Kadison-Kastler stable factors
• Perturbations of \(C^*\)-algebraic invariants
• On the projection of norm one in \(W^*\)-algebras. III
• A similarity degree characterization of nuclear \(C^*\)-algebras
• Morita equivalence of dual operator algebras
• On \(\varepsilon\)-representations
• A new proof of the equivalence of injectivity and hyperfiniteness for factors on a separable Hilbert space
• Amenability and virtual diagonals for von Neumann algebras
• Near inclusions of C*-algebras
• Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
• Perturbation of operator algebras
• On the cohomology of operator algebras
• The similarity degree of an operator algebra. II
• On Ulam stability
• Simultaneous similarity, bounded generation and amenability
• The spatial isomorphism problem for close separable nuclear C*-algebras
• Approximately Multiplicative Maps Between Banach Algebras
• Perturbations of Type I Von Neumann Algebras
• REMARKS ON THE SIMILARITY DEGREE OF AN OPERATOR ALGEBRA
• On commutative, operator amenable subalgebras of finite von Neumann algebras
• A NONSEPARABLE AMENABLE OPERATOR ALGEBRA WHICH IS NOT ISOMORPHIC TO A -ALGEBRA
• On abelian, triangularizable, total reduction algebras
• Perturbations of Von Neumann Algebras I Stability of Type
• Cohomology in Banach algebras
• The weak\(^*\) similarity property on dual operator algebras
• Similarity problems and length
• Lectures on amenability