A new description of Kasparov's theory of \(C^*\)-algebra extensions

DOI10.1016/0022-1236(89)90105-5zbMath0686.46043OpenAlexW2036529111MaRDI QIDQ1262509

Richard Zekri

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0022-1236(89)90105-5

zbMATH Keywords

crossed productuniversal \(C^*\)-algebraCuntz's \(C^*\)-algebraKasparov's Ext-theory for \(C^*\)-algebrastopological version of Yoneda's Ext-theory for modules

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80)

Related Items

Subalgebras of finite codimension in semiprojective 𝐶*-algebras ⋮ Non-commutative geometry: A physicist's brief survey ⋮ Universal cycles and homological invariants of locally convex algebras ⋮ The fine structure of the Kasparov groups. I: Continuity of the KK-pairing ⋮ Excision and the Hodge Filtration in periodic cyclic homology: the case of splitting and invertible extensions ⋮ Abstract Bott periodicity in KK-theory ⋮ \(E\)-theoretic duality for higher rank graph algebras

Cites Work

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• On a technical theorem of Kasparov
• A new look at KK-theory
• A characterization of KK-theory
• The completely positive lifting problem for \(C^*\)-algebras
• Stable isomorphism of hereditary subalgebras of \(C^*\)-algebras
• Notes on extensions of \(C^*\)-algebras
• Extensions of \(C^*\)-algebras and \(K\)-homology
• Some remarks on Kasparov theory
• Multipliers of C -algebras
• Exact Sequences for the Kasparov Groups of Graded Algebras
• The role of 𝐾-theory in noncommutative algebraic topology
• Lifting Problems and the Cohomology of C*-Algebras
• Double Centralizers and Extensions of C ∗ -Algebras
• Homology

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