The \(\alpha\)-comparison property and finite nuclear dimension of generalized inductive limits for \(C^*\)-algebras
DOI10.1007/s10114-018-7336-yzbMath1433.46038OpenAlexW2805659142MaRDI QIDQ1788710
Yue Liang Liang, Xiao Chun Fang
Publication date: 8 October 2018
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-018-7336-y
finite nuclear dimension$\alpha$-comparison propertygeneralized inductive limit of \(C^*\)*-algebras
(K)-theory and operator algebras (including cyclic theory) (46L80) General theory of (C^*)-algebras (46L05) Inductive and projective limits in functional analysis (46M40) Classifications of (C^*)-algebras (46L35)
Cites Work
- Unnamed Item
- Unnamed Item
- Central sequence \(C^*\)-algebras and tensorial absorption of the Jiang-Su algebra
- Generalized inductive limits of quasidiagonal \(C\)*-algebras
- Nuclear dimension and \(\mathcal{Z}\)-stability of pure \(C^{\ast}\)-algebras
- Infinite non-simple \(C\)*-algebras: absorbing the Cuntz algebra \({\mathcal O}_\infty\)
- Strict comparison and \(\mathcal{Z}\)-absorption of nuclear \(C^*\)-algebras
- On the classification of simple inductive limit \(C^{*}\)-algebras. II: The isomorphism theorem
- Simple \(C^{*}\)-algebras with locally finite decomposition rank
- The nuclear dimension of \(C^{*}\)-algebras
- The Elliott conjecture for Villadsen algebras of the first type
- On the structure of simple \(C^*\)-algebras tensored with a UHF-algebra. II
- On the classification of inductive limits of sequences of semisimple finite-dimensional algebras
- Generalized inductive limits of finite-dimensional \(C^*\)-algebras
- Classification of simple \(C^*\)-algebras of tracial topological rank zero
- A classification theorem for nuclear purely infinite simple \(C^*\)-algebras
- Recasting the Elliott conjecture
- On the classification problem for nuclear \(C^*\)-algebras
- Decomposition rank and \(\mathcal{Z}\)-stability
- Classification of Simple Tracially AF C*-Algebras
- K-Theory for operator algebras. Classification of C$^*$-algebras
- COMPLETIONS OF MONOIDS WITH APPLICATIONS TO THE CUNTZ SEMIGROUP
- Regularity properties in the classification program for separable amenable C*-algebras
- The Cuntz semigroup as an invariant for C*-algebras
- Cuntz semigroups of ideals and quotients and a generalized Kasparov Stabilization Theorem
- Completely positive maps of order zero
- On a Simple Unital Projectionless C*-Algebra
- Non-simple purely infinite C*-algebras
- Tracially AF 𝐶*-algebras
- The $\boldsymbol{\alpha}$-comparison Property of Quasidiagonal Extension for $\boldsymbol{C^*}$-algebras
- THE STABLE AND THE REAL RANK OF ${\mathcal Z}$-ABSORBING C*-ALGEBRAS
- COVERING DIMENSION AND QUASIDIAGONALITY
- ON THE CLASSIFICATION OF SIMPLE ${{\mathcal Z}}$-STABLE $C^{*}$-ALGEBRAS WITH REAL RANK ZERO AND FINITE DECOMPOSITION RANK
- Inner quasidiagonality and strong NF algebras.
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