Some examples of extensions of \(C(\mathbb{T}) \)

DOI10.1134/s1995080223060306OpenAlexW4387316223MaRDI QIDQ6051084

A. Yu. Kuznetsova

Publication date: 12 October 2023

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

Full work available at URL: https://doi.org/10.1134/s1995080223060306

zbMATH Keywords

\(C^*\)-algebraFredholm operatorextensionpartial isometryshort exact sequenceFredholm indexideal of compact operators

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) (Semi-) Fredholm operators; index theories (47A53) Dynamical systems and the theory of (C^*)-algebras (37A55) Crossed product algebras (analytic crossed products) (47L65)

Cites Work

• \(C^\ast\)-algebras generated by mappings
• Extensions of \(C^*\)-algebras and \(K\)-homology
• \(C^\ast\)-algebras generated by mappings. Criterion of irreducibility
• \(C^\ast\)-algebras generated by mappings. Classification of invariant subspaces
• Algebra associated with a map inducing an inverse semigroup
• Structure theorems for star-commuting power partial isometries
• \(C^*\)-algebras generated by mappings
• On a class of operator algebras generated by a family of partial isometries
• The 𝐶*-algebra generated by an isometry
• Double Centralizers and Extensions of C ∗ -Algebras
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