The classification of certain non-simple \(C^*\)-algebras of tracial rank zero
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Publication:1028314
DOI10.1016/J.JFA.2009.03.005zbMath1172.46040OpenAlexW1972517928MaRDI QIDQ1028314
Publication date: 30 June 2009
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfa.2009.03.005
(K)-theory and operator algebras (including cyclic theory) (46L80) Classifications of (C^*)-algebras (46L35)
Related Items (7)
The tracial topological rank of extensions of \(C^*\)-algebras ⋮ Unnamed Item ⋮ The tracial class property for crossed products by finite group actions ⋮ A classification of inductive limit C∗$C^{*}$‐algebras with ideal property ⋮ Inductive limit of direct sums of simple TAI algebras ⋮ Certain classes of \(C^\ast\)-algebras preserved by tracial approximation ⋮ A CLASSIFICATION OF NON-SIMPLE C*-ALGEBRAS OF TRACIAL RANK ONE: INDUCTIVE LIMITS OF FINITE DIRECT SUMS OF SIMPLE TAI C*-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
- Extension algebras of Cuntz algebra
- On the classification of simple inductive limit \(C^{*}\)-algebras. II: The isomorphism theorem
- \(C^*\)-algebras of real rank zero
- \(C^ \ast\)-algebras generated by stable relations
- On the classification of inductive limits of sequences of semisimple finite-dimensional algebras
- Lifting automorphisms
- A classification result for approximately homogeneous \(C^*\)-algebras of real rank zero
- Classification of \(C^*\)-algebras of real rank zero and unsuspended \(E\)-equivalence types
- Classification of direct limits of generalized Toeplitz algebras
- Classification of simple \(C^{\ast}\)-algebras and higher dimensional noncommutative tori
- Classification of homomorphisms from \(C(X)\) to simple \(C^*\)-algebras of real rank zero
- Classification of simple \(C^*\)-algebras of tracial topological rank zero
- Approximation by normal elements with finite spectra in \(C^*\)-algebras of real rank zero
- \(C^*\)-algebra homomorphisms and \(KK\)-theory
- On the classification of simple inductive limit \(C^*\)-algebras. I: The reduction theorem
- Approximately unitarily equivalent morphisms and inductive limit \(C^*\)- algebras
- A universal multicoefficient theorem for the Kasparov groups
- Graph \(C^*\)-algebras and their ideals defined by Cuntz--Krieger family of possibly row-infinite directed graphs
- Classification of Simple Tracially AF C*-Algebras
- The Tracial Topological Rank of C*-Algebras
- On the classification of C*-algebras of real rank zero.
- ON THE CLASSIFICATION OF NUCLEAR C*-ALGEBRAS
- DIMENSION GROUPS WITH TORSION
- Classification of simple C *-algebras with unique traces
- Homomorphisms from $C^*$-algebras of continuous trace
- ALMOST MULTIPLICATIVE MORPHISMS AND K-THEORY
- MORPHISMS OF SIMPLE TRACIALLY AF ALGEBRAS
- Injectivity of the Connecting Maps in AH Inductive Limit Systems
- Approximate unitary equivalence of homomorphisms from O_{\infty}
- Extensions of Inductive Limits of Circle Algebras
- Classification of direct limits of even Cuntz-circle algebras
- The real rank zero property of crossed product
- \(C^*\)-algebras by example
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