The general stable rank in nonstable \(K\)-theory

DOI10.1216/RMJM/1022009295zbMath0980.46053OpenAlexW2071394127MaRDI QIDQ5928706

Yifeng Xue

Publication date: 1 April 2001

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL30-2/CONT30-2/CONT30-2.html

zbMATH Keywords

\(C^*\)-algebra\(K\)-theorycancellationstable rankunitary group

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 (3)

The Ext-group of unitary equivalence classes of unital extensions ⋮ K-THEORY OF C*-ALGEBRAS WITH TRACIAL TOPOLOGICAL RANK k ⋮ (APD)–property of $C^*$–algebras by extensions of $C^*$–algebras with (APD)

Cites Work

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• K-theory for certain C*-algebras
• On infinite simple \(C^*\)-algebras
• \(C^*\)-algebras of real rank zero
• Certain \(C^*\)-algebras with real rank zero and their corona and multiplier algebras. I
• Nonstable \(K\)-theory for operator algebras
• Approximation by normal elements with finite spectra in \(C^*\)-algebras of real rank zero
• A Cancellation Theorem for Modules Over the Group C*-Algebras of Certain Nilpotent Lie Groups
• Dimension and Stable Rank in the K -Theory of C^* -Algebras
• The connected stable rank of the purely infinite simple $C^*$-algebras
• K-Theory and Multipliers of Stable C ∗ -Algebras

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