\(C^*\)-algebra homomorphisms and \(KK\)-theory

DOI10.1023/A:1007743325440zbMath0945.46049OpenAlexW1998585427MaRDI QIDQ1818740

Liangqing Li

Publication date: 21 September 2000

Published in: \(K\)-Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1007743325440

zbMATH Keywords

inductive limitinductive systemcharacterization theoremCW-complexesKK-theoryAF-algebrasAH algebra

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Kasparov theory ((KK)-theory) (19K35) (K_0) as an ordered group, traces (19K14)

Related Items (12)

ALMOST MULTIPLICATIVE MORPHISMS AND K-THEORY ⋮ Mutual embeddability equivalence relation for rotation algebras ⋮ On the classification of simple inductive limit \(C^{*}\)-algebras. II: The isomorphism theorem ⋮ Asymptotic unitary equivalence and classification of simple amenable \(C^{\ast}\)-algebras ⋮ Simple nuclear \(C^{*}\)-algebras of tracial topological rank one ⋮ Approximate homotopy of homomorphisms from 𝐶(𝑋) into a simple 𝐶*-algebra ⋮ Lifting \(KK\)-elements, asymptotic unitary equivalence and classification of simple C\(^*\)-algebras ⋮ Simple \(C^*\)-algebras with locally bounded irreducible representation ⋮ Hausdorffified algebraic \(K_1\)-groups and invariants for \(C^\ast\)-algebras with the ideal property ⋮ The classification of certain non-simple \(C^*\)-algebras of tracial rank zero ⋮ \(C^*\) exponential length of commutators unitaries in AH-algebras ⋮ The range of approximate unitary equivalence classes of homomorphisms from AH-algebras

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