Classification of direct limits of generalized Toeplitz algebras

DOI10.2140/pjm.1997.181.89zbMath0905.46043OpenAlexW2039161683MaRDI QIDQ1382058

Huaxin Lin, Hongbing Su

Publication date: 1 April 1998

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

Full work available at URL: https://doi.org/10.2140/pjm.1997.181.89

zbMATH Keywords

direct limits\(C^*\)-algebras of real rank zero\(A\mathbb{T}\)-algebras\(C^*\)-algebras which are not stably finitegeneralized Toeplitz algebras

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) General theory of (C^*)-algebras (46L05) Classifications of (C^*)-algebras (46L35)

Related Items (17)

A\(\mathcal{T}\)-algebras and extensions of A\(\mathbb{T}\)-algebras ⋮ Equivalence relations of AF-algebra extensions ⋮ \(K\)-theory for certain extension algebras of purely infinite simple \(C^*\)-algebras ⋮ Classification of extensions of torus algebra. II ⋮ A note on the nuclear dimension of Cuntz–Pimsner -algebras associated with minimal shift spaces ⋮ Partial isometries and extensions of \({{\mathrm A}{\mathbb T}}\)-algebras ⋮ Lifting unitary elements with application to approximately inner automorphisms ⋮ Approximate homotopy of homomorphisms from 𝐶(𝑋) into a simple 𝐶*-algebra ⋮ Classification of simple \(C^*\)-algebras of tracial topological rank zero ⋮ Homomorphisms between \(C^*\)-algebra extensions ⋮ Partial isometries and an invariant of \(C^*\)-algebras ⋮ Isomorphism of extensions of \(C(\mathbb{T} ^{2})\) ⋮ On ideals and quotients of \(A{\mathcal T}\)-algebras ⋮ CLASSIFICATION OF EXTENSIONS OF A𝕋-ALGEBRAS ⋮ The classification of certain non-simple \(C^*\)-algebras of tracial rank zero ⋮ Homotopy of a pair of approximately commuting unitaries in a simple \(C^*\)-algebra ⋮ Classification of extensions of classifiable \(C^{*}\)-algebras

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