\(C^{\ast }\)-algebras associated to \(C^{\ast }\)-correspondences and applications to mirror quantum spheres

zbMath1272.46048arXiv1001.2982MaRDI QIDQ351809

Mohammad Hasan, M. Dambrine

Publication date: 10 July 2013

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.2982

zbMATH Keywords

\(C^{\ast }\)-correspondencesCuntz-Pimsner algebraslabelled graphsmirror quantum spheres

Mathematics Subject Classification ID

Noncommutative topology (46L85) (C^*)-modules (46L08) Quantizations, deformations for selfadjoint operator algebras (46L65)

Related Items (4)

-algebras of labelled graphs III—-theory computations ⋮ Pullbacks of graph C*-algebras from admissible pushouts of graphs ⋮ Functoriality of Cuntz-Pimsner correspondence maps ⋮ Non‐surjective pullbacks of graph C ^* ‐algebras from non‐injective pushouts of graphs

Cites Work

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• Cuntz-Krieger algebras of directed graphs
• Ideal structure and simplicity of the \(C^*\)-algebras generated by Hilbert bimodules
• The ideal structure of the \(C^*\)-algebras of infinite graphs
• Computing \(K\)-theory and \(\operatorname{Ext}\) for graph \(C^*\)-algebras
• Quantum spheres and projective spaces as graph algebras
• Adding tails to \(C^*\)-correspondences
• On semiprojectivity of 𝐶*-algebras of directed graphs
• $C^*$-algebras of labelled graphs II - simplicity results
• Stabe rank of graph algebras: Type I graph algebras and their limits
• Noncommutative balls and mirror quantum spheres
• Cuntz-Krieger algebras of infinite graphs and matrices
• Representations of Cuntz-Pimsner algebras
• Extensions of Hilbert C*-modules II
• Decomposability of graph 𝐶*-algebras

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