Classification of simple \(C^*\)-algebras: Inductive limits of matrix algebras over one-dimensional spaces

DOI10.1006/jfan.2002.3895zbMath1034.46058OpenAlexW1963790637MaRDI QIDQ1614780

Liangqing Li

Publication date: 8 September 2002

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

Full work available at URL: https://doi.org/10.1006/jfan.2002.3895

zbMATH Keywords

simple \(C^*\)-algebrasinductive limits

Mathematics Subject Classification ID

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

Related Items (10)

Approximated by finite-dimensional homomorphisms into simple $C^*$-algebras with tracial rank one ⋮ On the classification of simple inductive limit \(C^{*}\)-algebras. II: The isomorphism theorem ⋮ A classification of inductive limit C∗$C^{*}$‐algebras with ideal property ⋮ Simple nuclear \(C^{*}\)-algebras of tracial topological rank one ⋮ On the decomposition theorems for \(C^*\)-algebras ⋮ \(A\mathbb T\) structure of \(AH\) algebras with the ideal property and torsion free \(K\)-theory ⋮ Unbounded Fredholm modules and double operator integrals ⋮ A CLASSIFICATION OF NON-SIMPLE C*-ALGEBRAS OF TRACIAL RANK ONE: INDUCTIVE LIMITS OF FINITE DIRECT SUMS OF SIMPLE TAI C*-ALGEBRAS ⋮ \(C^*\) exponential length of commutators unitaries in AH-algebras ⋮ Injectivity of the Connecting Homomorphisms in Inductive Limits of Elliott–Thomsen Algebras

Cites Work

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• 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
• On the classification of simple inductive limit \(C^{*}\)-algebras. II: The isomorphism theorem
• K-theory for certain C*-algebras
• Non-commutative spheres. III: Irrational rotations
• Reduction of topological stable rank in inductive limits of \(C^*\)- algebras
• On the classification of inductive limits of sequences of semisimple finite-dimensional algebras
• The structure of the irrational rotation \(C^*\)-algebra
• Classification of \(C^*\)-algebras of real rank zero and unsuspended \(E\)-equivalence types
• Approximation by normal elements with finite spectra in \(C^*\)-algebras of real rank zero
• Limits of circle algebras
• A classification theorem for nuclear purely infinite simple \(C^*\)-algebras
• On the classification of C*-algebras of real rank zero.
• On the topological stable rank of certain transformation group C*-algebras
• A Property of Purely Infinite Simple C ∗ -Algebras
• Characteristic Classes. (AM-76)
• Simple inductive limit C*-algebras: Spectra and approximations by interval algebras
• The Exponential Rank of Inductive Limit $C^*$-Algebras.
• Reduction of Exponential Rank in Direct Limits of C*-Algebras
• Reduction to dimension three of local spectra of real rank zero C*-algebras.
• Classification of simple 𝐶*-algebras: inductive limits of matrix algebras over trees
• On inductive limits of matrix algebras over higher dimensional spaces, part I.
• On inductive limits of matrix algebras over higher dimensional spaces, part II.
• Classification of inductive limits of Cuntz algebras.
• Classification of direct limits of even Cuntz-circle algebras
• On Inductive Limits of Matrix Algebras over the Two-Torus
• Inductive Limits of Finite Dimensional C ∗ -Algebras

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