E-theory for \(C^*\)-algebras over topological spaces

DOI10.1016/j.jfa.2012.03.022zbMath1255.46036arXiv0912.0283OpenAlexW1983815327MaRDI QIDQ435863

Ralf Meyer, Marius Dǎdǎrlat

Publication date: 12 July 2012

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.0283

zbMATH Keywords

K-theory\(C^{*}\)-algebrasE-theory

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Ext and (K)-homology (19K33) Kasparov theory ((KK)-theory) (19K35)

Related Items (11)

On q-tensor products of Cuntz algebras ⋮ E-theory for C[0, 1-algebras with finitely many singular points] ⋮ Classification of 𝒪_{∞}-Stable 𝒞*-Algebras ⋮ Compactly generated spaces and quasi-spaces in topology ⋮ Obstructions to matricial stability of discrete groups and almost flat $K$-theory ⋮ CLASSIFICATION OF CERTAIN CONTINUOUS FIELDS OF KIRCHBERG ALGEBRAS ⋮ Homotopy-theoretic E-theory and \(n\)-order ⋮ Unnamed Item ⋮ A Bott periodicity proof for real graded \(C^\ast\)-algebras ⋮ Lifting theorems for completely positive maps ⋮ One-parameter continuous fields of Kirchberg algebras with rational $K$-theory

Cites Work

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• Continuous fields of \(C^*\)-algebras over finite dimensional spaces
• The Baum-Connes conjecture via localisation of categories
• Universal (co)homology theories
• Asymptotic homomorphisms and equivariant \(KK\)-theory
• Shape theory and asymptotic morphisms for \(C^*\)-algebras
• A note on asymptotic homomorphisms
• Classification of extensions of certain \(C^*\)-algebras by their six term exact sequences in \(K\)-theory
• \(RKK(X)\)-nuclearity (after G. Skandalis)
• Representable \(E\)-theory for \(C_0(X)\)-algebras
• Equivariant \(E\)-theory for groupoids acting on \(C^{\ast}\)-algebras
• A universal multicoefficient theorem for the Kasparov groups
• Continuous fields of Kirchberg \(C^*\)-algebras
• Quasi-topologies
• Triangulated Categories
• C*-Algebras over Topological Spaces: Filtrated K-Theory
• Classification of Cuntz-Krieger algebras up to stable isomorphism
• Fiberwise KK-equivalence of continuous fields of C*-algebras
• C*-Algebras over Topological Spaces: The Bootstrap Class
• The Bockstein Map is Necessary
• Equivariant 𝐸-theory for 𝐶*-algebras
• Classification of nuclear \(C^*\)-algebras. Entropy in operator algebras

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