Tracially AF 𝐶*-algebras
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Publication:4517459
DOI10.1090/S0002-9947-00-02680-5zbMath0964.46044MaRDI QIDQ4517459
Publication date: 22 November 2000
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
TAF\(K\)-theoryreal rank zerouniversal coefficient theoremquasidiagonalstable rank onehyperfinite algebrasimple AF-algebranuclear simple \(C^*\)-algebrastracially approximately finite-dimensionalweakly unperforated \(K_0\)-group
(K)-theory and operator algebras (including cyclic theory) (46L80) General theory of (C^*)-algebras (46L05) Classifications of (C^*)-algebras (46L35)
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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
- Dimension functions and traces on C*-algebras
- The full C*-algebra of the free group on two generators
- \(C^*\)-algebras of real rank zero
- On the structure of simple \(C^*\)-algebras tensored with a UHF-algebra. II
- Approximately central matrix units and the structure of noncommutative tori
- Certain \(C^*\)-algebras with real rank zero and their corona and multiplier algebras. I
- On the classification of inductive limits of sequences of semisimple finite-dimensional algebras
- Injectivity and operator spaces
- The completely positive lifting problem for \(C^*\)-algebras
- The structure of the irrational rotation \(C^*\)-algebra
- On non-semisplit extensions, tensor products and exactness of group \(C^*\)-algebras
- Generalized inductive limits of finite-dimensional \(C^*\)-algebras
- On local finite dimensional approximation of \(C^*\)-algebras
- Notes on a class of simple \(C^*\)-algebras with real rank zero
- Approximation by normal elements with finite spectra in \(C^*\)-algebras of real rank zero
- On the classification of C*-algebras of real rank zero.
- Perfect 𝐶*-algebras
- A Property of Purely Infinite Simple C ∗ -Algebras
- On Isomorphisms of Inductive Limit C ∗ -Algebras
- Skeleton C*-Subalgebras
- The structure of multiplication and addition in simple $C^*$-algebras.
- Reduction to dimension three of local spectra of real rank zero C*-algebras.
- Extensions of C(X) by Simple C*-algebras of real rank zero
- On inductive limits of matrix algebras over higher dimensional spaces, part I.
- Nonnuclear subalgebras of AF algebras
- Embedding of continuous fields of C* -algebras in the Cuntz algebra 𝒪2
- On the classification of 𝐶*-algebras of real rank zero: inductive limits of matrix algebras over non-Hausdorff graphs
- Inner quasidiagonality and strong NF algebras.