Homological properties of the algebra of compact operators on a Banach space

DOI10.1216/RMJ-2018-48-2-687zbMath1394.46012arXiv1212.0679OpenAlexW2962815675MaRDI QIDQ1638058

George A. Willis

Publication date: 12 June 2018

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.0679

zbMATH Keywords

automatic continuityBanach spaceflatnessapproximation propertyuniversal flatness

Mathematics Subject Classification ID

Automatic continuity (46H40) Spaces of operators; tensor products; approximation properties (46B28) Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.) (46M18) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

Cites Work

• On the simplicial cohomology of Banach operator algebras
• Excision in cyclic homology and in rational algebraic K-theory
• Approximate identities and factorization in Banach modules
• On the weak amenability of \(\mathcal A(X)\) and its relation with the approximation property.
• Factoring compact operators
• Left approximate identities in algebras of compact operators on Banach spaces
• Examples of Factorization Without Bounded Approximate Units
• Excision in algebraic K-theory and Karoubi's conjecture.
• Approximate Identities in Banach Algebras of Compact Operators
• The Compact Approximation Property does not imply the Approximation Property
• Excision in algebraic \(K\)-theory
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Homological properties of the algebra of compact operators on a Banach space