Almost commuting unitaries and classification of purely infinite simple \(C^*\)-algebras

DOI10.1006/jfan.1997.3214zbMath0922.46054OpenAlexW2010420322MaRDI QIDQ1266250

Huaxin Lin

Publication date: 27 October 1998

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1997.3214

zbMATH Keywords

almost commuting unitariesirrational rotation algebraBunce-Deddens algebraclassification of purely infinite simple \(C^\ast\)-algebras

Mathematics Subject Classification ID

Classifications of (C^*)-algebras (46L35)

Related Items (5)

When almost multiplicative morphisms are close to homomorphisms ⋮ Approximate symmetries of Hamiltonians ⋮ Almost commuting matrices, localized Wannier functions, and the quantum Hall effect ⋮ Almost commuting unitaries with spectral gap are near commuting unitaries ⋮ Classification of homomorphisms from \(C(X)\) to simple \(C^*\)-algebras of real rank zero

Cites Work

• On the classification of \(C^*\)-algebras of real rank zero. II
• Abelian \(C^*\)-subalgebras of \(C^*\)-algebras of real rank zero and inductive limit \(C^*\)-algebras
• Almost commuting matrices and a quantitative version of the Brown- Douglas-Fillmore theorem
• The noncommutative topology of one-dimensional spaces
• Almost commuting matrices
• K-theory for certain C*-algebras
• Invariants of almost commuting unitaries
• On the structure of simple \(C^*\)-algebras tensored with a UHF-algebra
• On infinite simple \(C^*\)-algebras
• \(C^*\)-algebras of real rank zero
• AF embeddings of \(C(\mathbb{T}^ 2)\) with a prescribed \(K\)-theory
• Certain \(C^*\)-algebras with real rank zero and their corona and multiplier algebras. I
• Extensions of \(C^*\)-algebras and \(K\)-homology
• Simple \(C^*\)-algebras generated by isometries
• The structure of the irrational rotation \(C^*\)-algebra
• Approximation by unitaries with finite spectrum in purely infinite \(C^*\)-algebras
• Approximation by normal elements with finite spectra in \(C^*\)-algebras of real rank zero
• Exponential rank of \(C^{\ast}\)-algebras with real rank zero and the Brown-Pedersen conjectures
• Multipliers of C -algebras
• On the classification of C*-algebras of real rank zero.
• Almost commuting Hermitian matrices.
• K-Theory and Asymptotically Commuting Matrices
• Almost Commuting Matrices Need not be Nearly Commuting
• On the Structure of Projections and Ideals of Corona Algebras
• Ideals of Multiplier Algebras of Simple AF C ∗ -Algebras
• Almost Commuting Unitary Matrices
• Simple C ∗ -Algebras with Continuous Scales and Simple Corona Algebras
• GENERALIZED WEYL-VON NEUMANN THEOREMS
• Some unsolved problems of unknown depth about operators on Hilbert space
• ALMOST NORMAL ELEMENTS
• Homomorphisms From C(X) Into C*-Algebras
• Classification of inductive limits of Cuntz algebras.
• Classification of direct limits of even Cuntz-circle algebras
• ALMOST MULTIPLICATIVE MORPHISMS AND THE CUNTZ ALGEBRA ${\mathcal O}_2$
• On Inductive Limits of Matrix Algebras over the Two-Torus
• The generalized Berg theorem and BDF-theorem
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Almost commuting unitaries and classification of purely infinite simple \(C^*\)-algebras