On semiprojectivity of 𝐶*-algebras of directed graphs

DOI10.1090/S0002-9939-01-06282-7zbMath1014.46034MaRDI QIDQ2781297

Wojciech Szymański

Publication date: 19 March 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

\(C^*\)-algebrasemiprojectivity

Mathematics Subject Classification ID

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

Related Items (max. 100)

A class of \boldmath{$C^*$}-algebras generalizing both graph algebras and homeomorphism \boldmath{$C^*$}-algebras I, fundamental results ⋮ \(C^{\ast }\)-algebras associated to \(C^{\ast }\)-correspondences and applications to mirror quantum spheres ⋮ A class of \(C^{*}\)-algebras generalizing both graph algebras and homeomorphism \(C^{*}\)-algebras. IV: Pure infiniteness ⋮ Graded \(K\)-theory and \(K\)-homology of relative Cuntz-Pimsner algebras and graph \(C^\ast \)-algebras ⋮ Endomorphisms of graph algebras ⋮ Semiprojectivity and properly infinite projections in graph \(C^{\ast}\)-algebras ⋮ Continuous fields of \(C^*\)-algebras over finite dimensional spaces ⋮ Semiprojectivity for certain purely infinite 𝐶*-algebras

Cites Work

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• Graphs, groupoids, and Cuntz-Krieger algebras
• Cuntz-Krieger algebras of directed graphs
• K-theory for certain C*-algebras
• A class of C*-algebras and topological Markov chains II: Reducible chains and the Ext-functor for C*-algebras
• Cuntz-Krieger algebras of infinite graphs and matrices
• Shape theory for $C^*$-algebras.
• The 𝐶*-algebras of infinite graphs

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