The structure of invariant ideals of some subalgebras of Toeplitz algebra

DOI10.3103/S106836231502003XzbMath1350.46038OpenAlexW2084179423MaRDI QIDQ260281

E. V. Lipacheva, Karen H. Hovsepyan

Publication date: 21 March 2016

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s106836231502003x

zbMATH Keywords

irreducible representation\(C^*\)-algebraindex of monomialinvariant idealinvariant subalgebrashort faithful sequenceToeplitz algebra

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Related Items (8)

Automorphisms of some subalgebras of the Toeplitz algebra ⋮ Category of some subalgebras of the Toeplitz algebra ⋮ Type of some nuclear subalgebras of the Toeplitz algebra generated by inverse subsemigroups of a bicyclic semigroup ⋮ Inverse subsemigroups of the bicyclic semigroup ⋮ A semigroup \(C^\ast\)-algebra which is a free Banach module ⋮ On a class of graded ideals of semigroup \(C^\ast\)-algebras ⋮ Nets of graded $C^*$-algebras over partially ordered sets ⋮ On inductive limits for systems of \(C^\ast\)-algebras

Cites Work

• Unnamed Item
• \(C^\ast\)-algebras generated by mappings
• On isometric representations of the semigroup \(\mathbb Z_+\backslash\{ 1\}\)
• \(C^*\)-algebras generated by cancellative semigroups
• A compact quantum semigroup generated by an isometry
• Infinite-dimensional compact quantum semigroup
• On the \(C^*\)-algebra of a one-parameter semigroup of isometries
• Crossed Products of C*-Algebras by Semigroups of Automorphisms
• The 𝐶*-algebra generated by an isometry

This page was built for publication: The structure of invariant ideals of some subalgebras of Toeplitz algebra