Proper asymptotic unitary equivalence in KK-theory and projection lifting from the corona algebra

DOI10.1016/J.JFA.2010.09.003zbMath1210.46052arXiv1009.2592OpenAlexW2964173579MaRDI QIDQ610751

Hyun Ho Lee

Publication date: 10 December 2010

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

Full work available at URL: https://arxiv.org/abs/1009.2592

zbMATH Keywords

projection\(KK\)-theorycorona algebraabsorbing representationasymptotic unitary equivalence

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) General theory of (C^*)-algebras (46L05) Kasparov theory ((KK)-theory) (19K35)

Related Items (4)

Projection lifting from the corona algebra using UCT ⋮ Remarks on essential codimension ⋮ Homotopy classification of homogeneous projections in the corona algebra of \(C(X,B)\) for a graph \(X\) ⋮ Deformation of a projection in the multiplier algebra and projection lifting from the corona algebra of a non-simple \(C^\ast\)-algebra

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• On absorbing extensions
• Champs continus d'espaces hilbertiens et de $C^*$-algèbres
• \(C^*\)-algebras by example
• Asymptotic unitary equivalence in \(KK\)-theory

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