Homotopy classification of homogeneous projections in the corona algebra of \(C(X,B)\) for a graph \(X\)

DOI10.1016/J.JMAA.2018.01.044zbMath1394.46042arXiv1404.1126OpenAlexW2275910993MaRDI QIDQ1706551

Hyun Ho Lee

Publication date: 22 March 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.1126

zbMATH Keywords

homotopy equivalencecorona algebrageneralized Fredholm indexgeneralized essential codimension

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Homology and homotopy of topological groups and related structures (57T99)

Cites Work

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• Projection lifting from the corona algebra using UCT
• Proper asymptotic unitary equivalence in KK-theory and projection lifting from the corona algebra
• \(C^*\)-algebras of real rank zero
• Certain \(C^*\)-algebras with real rank zero and their corona and multiplier algebras. I
• Non-stable \(K\)-theory and extremally rich \(C^\ast\)-algebras
• Deformation of a projection in the multiplier algebra and projection lifting from the corona algebra of a non-simple \(C^\ast\)-algebra
• Multipliers of C -algebras
• Homotopy Classification of Projections in the Corona Algebra of a Non-simple C*-algebra
• K-Theory and Multipliers of Stable C ∗ -Algebras
• Champs continus d'espaces hilbertiens et de $C^*$-algèbres

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