Classification of doubly \(\mathcal{U}\)-commuting row isometries

DOI10.1007/s43037-023-00305-xOpenAlexW4387494705MaRDI QIDQ6069932

Gelu Popescu

Publication date: 17 November 2023

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43037-023-00305-x

zbMATH Keywords

classificationrepresentationsCuntz algebranoncommutative toriuniversal \(C^\ast\)-algebrasWold decompositionsdoubly \(\mathcal{U}\)-commuting row isometriestwisted tensor algebras

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Tensor products of (C^*)-algebras (46L06) Quantizations, deformations for selfadjoint operator algebras (46L65) Decomposition theory for (C^*)-algebras (46L45)

Cites Work

• Simple \(C^*\)-algebras generated by isometries
• Stability of a special class of \(q_{ij}\)-CCR and extensions of higher-dimensional noncommutative tori
• On \(C^\ast\)-algebras generated by isometries with twisted commutation relations
• The structure of doubly non-commuting isometries
• Functional calculus and multi-analytic models on regular \(\Lambda \)-polyballs
• Doubly \(\Lambda\)-commuting row isometries, universal models, and classification
• Wold decomposition for doubly commuting isometries
• Centre-valued Index for Toeplitz Operators with Noncommuting Symbols
• Isometric Dilations for Infinite Sequences of Noncommuting Operators
• The structure of higher-dimensional noncommutative tori and metric diophantine approximation.
• OnC*-algebras generated by pairs ofq-commuting isometries
• On q-tensor products of Cuntz algebras
• Orthogonal decompositions and twisted isometries
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