Weighted Cuntz-Krieger algebras

DOI10.1007/S00020-022-02716-1OpenAlexW3190940196MaRDI QIDQ2096979

Leonid Helmer, Baruch Solel

Publication date: 11 November 2022

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.05601

zbMATH Keywords

\(C^*\)-algebradirected graph\(C^*\)-correspondenceCuntz-Pimsner algebraFock spaceCuntz-Krieger algebrasweighted shiftsimplicitygraph algebrasgauge-invariant ideals

Mathematics Subject Classification ID

(C^*)-modules (46L08) General theory of (C^*)-algebras (46L05) Classifications of (C^*)-algebras (46L35) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Cites Work

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• Matricial function theory and weighted shifts
• On \(C^*\)-algebras associated with \(C^*\)-correspondences
• Ideal structure of \(C^*\)-algebras associated with \(C^*\)-correspondences
• A class of C*-algebras and topological Markov chains
• The \(C^*\)-algebras of row-finite graphs
• Operator theory on noncommutative domains
• Weighted Shifts and Covariance Algebras
• Tensor Algebras, Induced Representations, and the Wold Decomposition
• Weighted Cuntz algebras
• Dilations of \(C^*\)-correspondences and the simplicity of Cuntz-Pimsner algebras

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