The \(K\)-theory of AF embeddings of the rational rotation algebras

DOI10.1007/BF00569448zbMath0744.46067MaRDI QIDQ1814103

Terry A. Loring

Publication date: 25 June 1992

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

zbMATH Keywords

injectionChern characterConnes-Chern charactersemiprojectivityPowers-Rieffel projectionapproximately finite-dimensional \(C^*\)-algebraČech chomologyHomotopy properties of \(C^*\)-algebrasobstruction to continuous extensionrational rotation algebrassecond homotopy functor for \(C^*\)-algebras is discontinuousstable, continuous homology theory

Mathematics Subject Classification ID

Noncommutative topology (46L85) Noncommutative differential geometry (46L87) (K)-theory and operator algebras (including cyclic theory) (46L80)

Related Items (6)

Covering dimension for nuclear \(C^*\)-algebras ⋮ Classifying \(C^*\)-algebras via ordered, mod-\(p\) \(K\)-theory ⋮ Invariants of almost commuting unitaries ⋮ AF embeddings of \(C(\mathbb{T}^ 2)\) with a prescribed \(K\)-theory ⋮ Classification of homomorphisms from \(C(X)\) to simple \(C^*\)-algebras of real rank zero ⋮ Around quasidiagonal operators

Cites Work

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• Topological methods for C*-algebras. II: Geometric resolutions and the Kuenneth formula
• Topological methods for \(C^*\)-algebras. III: Axiomatic homology
• Topological methods for \(C^*\)-algebras. IV: Mod p homology
• C*-algebras associated with irrational rotations
• The center of approximately finite-dimensional \(C^*\)-algebras
• The Cancellation Theorem for Projective Modules Over Irrational Rotation C*-Algebras
• Embedding some transformation group C*-algebras into AF-algebras
• K-Theory and Asymptotically Commuting Matrices
• Almost inductive limit automorphisms and embeddings into AF-algebras
• The role of 𝐾-theory in noncommutative algebraic topology
• Shapes of compacta and ANR-systems

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