A more general method to classify up to equivariant \(KK\)-equivalence

DOI10.1090/conm/749/15075zbMath1373.46056arXiv1405.6512OpenAlexW3019397502MaRDI QIDQ526149

Rasmus Bentmann, Ralf Meyer

Publication date: 10 May 2017

Published in: Documenta Mathematica, 𝐾-theory in Algebra, Analysis and Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.6512

zbMATH Keywords

classification\(K\)-theoryK-theoryExtgroup action\(KK\)-theoryKK-theoryC*-algebranon-simple \(C^\ast\)-algebrasUCTinteger group

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Classifications of (C^*)-algebras (46L35) Kasparov theory ((KK)-theory) (19K35) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15)

Related Items (8)

The complete classification of unital graph \(C^{\ast}\)-algebras: geometric and strong ⋮ Invariance of the Cuntz splice ⋮ Classification of 𝒪_{∞}-Stable 𝒞*-Algebras ⋮ Simple nuclear \(C^{\ast}\)-algebras not equivariantly isomorphic to their opposites ⋮ On the classification of group actions on \(C^*\)-algebras up to equivariant \(KK\)-equivalence ⋮ A more general method to classify up to equivariant \(KK\)-equivalence ⋮ Kirchberg \(X\)-algebras with real rank zero and intermediate cancellation ⋮ Classification of real rank zero, purely infinite \(C^{\ast}\)-algebras with at most four primitive ideals

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