A weak expectation property for operator modules, injectivity and amenable actions

DOI10.1142/S0129167X21500051zbMath1472.46076arXiv2009.05690OpenAlexW3110884172WikidataQ122927739 ScholiaQ122927739MaRDI QIDQ5856985

Jason Crann, Alex Bearden

Publication date: 30 March 2021

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

Full work available at URL: https://arxiv.org/abs/2009.05690

zbMATH Keywords

injectivityoperator modulesweak expectation propertyamenable actions

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Projective and injective objects in functional analysis (46M10) Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.) (46M18) Crossed product algebras (analytic crossed products) (47L65)

Related Items

Exact structures for operator modules, Amenable and inner amenable actions and approximation properties for crossed products by locally compact groups, On characterizations of amenable \(\mathrm{C}^*\)-dynamical systems and new examples, Finite presentation, the local lifting property, and local approximation properties of operator modules

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multipliers of operator spaces, and the injective envelope.
• The standard dual of an operator space
• Injective envelopes of \(C^*\)-dynamical systems
• The \(W^*\)-dynamical system associated with a \(C^*\)-dynamical system, and unbounded derivations
• Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
• Injective envelopes of Banach modules
• On non-semisplit extensions, tensor products and exactness of group \(C^*\)-algebras
• On minimal, strongly proximal actions of locally compact groups
• Herz-Schur multipliers of dynamical systems
• Injective envelopes of \(C^*\)-algebras as operator modules.
• Boundaries of reduced \(C^\ast\)-algebras of discrete groups
• On nuclear C\(^*\)-algebras
• Weak expectations and the injective envelope
• Amenability and exactness for dynamical systems and their 𝐶*-algebras
• Representations of Crossed Products by Coactions and Principal Bundles
• On the projection of norm one in $W^ *$-algebras
• Amenability and covariant injectivity of locally compact quantum groups
• Action moyennable d'un groupe localement compact sur une algebre de von Neumann.
• Action moyennable d'un groupe localement compact sur une algèbre de von Neumann II.
• The standard form of von Neumann algebras.
• Traces on reduced group C^*-algebras
• Homological properties of modules over group algebras
• The maximal injective crossed product
• Amenability of locally compact quantum groups and their unitary co-representations
• Amenability and Covariant Injectivity of Locally Compact Quantum Groups II
• On ϕ-amenability of Banach algebras
• L'algèbre de Fourier d'un groupe localement compact
• Invariant Means on a Class of Von Neumann Algebras
• Inner Amenable Locally Compact Groups
• The unitary implementation of a locally compact quantum group action
• Continuous bounded cohomology of locally compact groups