Morita equivalence for Banach algebras

DOI10.1016/0022-4049(95)91151-FzbMath0822.46081MaRDI QIDQ1892298

Niels Grønbæk

Publication date: 8 June 1995

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

functorsEilenberg-Watts theorembounded Hochschild homologycategories of essential modulesMorita equivalence of Banach algebras with bounded approximate identities

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) General theory of topological algebras (46H05)

Related Items (13)

Homological properties of \(\ell^1\)-Munn Banach algebras ⋮ On ideal amenability of \(\ell^1\)-Munn Banach algebras ⋮ One-sided ideals of the non-commutative Schwartz space ⋮ On the weak amenability of \(\mathcal A(X)\) and its relation with the approximation property. ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The Fourier–Stieltjes algebra of a $C^*$-dynamical system II ⋮ Unnamed Item ⋮ A Morita theorem for algebras of operators on Hilbert space ⋮ On the simplicial cohomology of Banach operator algebras ⋮ Excision in Banach simplicial and cyclic cohomology ⋮ Morita equivalence of Brandt semigroup algebras ⋮ Morita equivalences and KK-theory for Banach algebras

Cites Work

• Excision in cyclic homology and in rational algebraic K-theory
• A bigger Brauer group
• Cyclic homology and the Lie algebra homology of matrices
• Morita equivalence for C\(^*\)-algebras and W\(^*\)-algebras
• Strong Morita equivalence of certain transformation group \(C^*\)-algebras
• Amenability of Banach algebras of compact operators
• Homotopy invariants of the spectrum of a topological algebra
• Induced representations of C\(^*\)-algebras
• Induced Banach representations of Banach algebras and locally compact groups
• Factoring compact operators
• Modules with decompositions that complement direct summands
• A complementably universal conjugate Banach space and its relation to the approximation problem
• Intrinsic Characterizations of Some Additive Functors
• The Structure of Amenable Banach Algebras
• Automorphisms of Azumaya Algebras Over a Commutative Banach Algebra
• Homological characterizations of the approximation property for Banach spaces
• Bounded Approximate Identities in the Algebra of Compact Operators on a Banach Space
• Banach Cyclic (Co)Homology and the Connes-Tzygan Exact Sequence
• Approximate Identities in Banach Algebras of Compact Operators
• An Introduction to the Theory of Centralizers
• Approximate Diagonals and Cohomology of Certain Annihilator Banach Algebras
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