Classification of homomorphisms from \(C(X)\) to simple \(C^*\)-algebras of real rank zero
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Publication:1578858
DOI10.1007/s101140050001zbMath0981.46045OpenAlexW4245517913MaRDI QIDQ1578858
Publication date: 1 March 2002
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s101140050001
\(K\)-theoryhomomorphism\(C^*\)-algebrasunitarily equivalentstable rank one\(KK\)-obstaclealmost multiplicative morphism
(K)-theory and operator algebras (including cyclic theory) (46L80) General theory of (C^*)-algebras (46L05) Classifications of (C^*)-algebras (46L35)
Related Items
When almost multiplicative morphisms are close to homomorphisms, \(K\)-theory of continuous deformations of \(C^*\)-algebras, Classification of homomorphisms into simple \(\mathcal Z\)-stable \(C^*\)-algebras, Homomorphisms from AH-algebras, Purely infinite corona algebras and extensions, \(\mathcal{Z}\)-stability of crossed products by strongly outer actions, On Specht's theorem in UHF \(C^\ast \)-algebras, Approximate unitary equivalence in simple $C^{*}$-algebras of tracial rank one, The classification of certain non-simple \(C^*\)-algebras of tracial rank zero, Optimal transport and unitary orbits in \(\mathrm{C}^\ast\)-algebras, The range of approximate unitary equivalence classes of homomorphisms from AH-algebras, Classification of homomorphisms and dynamical systems
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 covering dimension and inverse limits of compact spaces
- Dimension functions and traces on C*-algebras
- Topological methods for \(C^*\)-algebras. IV: Mod p homology
- AF embeddings of \(C(\mathbb{T}^ 2)\) with a prescribed \(K\)-theory
- Stable isomorphism of hereditary subalgebras of \(C^*\)-algebras
- Extensions of \(C^*\)-algebras and \(K\)-homology
- Almost commuting unitaries and classification of purely infinite simple \(C^*\)-algebras
- A Fredholm operator approach to Morita equivalence
- Approximation by unitaries with finite spectrum in purely infinite \(C^*\)-algebras
- A classification result for approximately homogeneous \(C^*\)-algebras of real rank zero
- The \(K\)-theory of AF embeddings of the rational rotation algebras
- Approximation by normal elements with finite spectra in \(C^*\)-algebras of real rank zero
- Classification of certain infinite simple \(C^*\)-algebras
- Almost commuting unitary elements in purely infinite simple \(C^*\)- algebras
- A universal multicoefficient theorem for the Kasparov groups
- Exponential rank of \(C^{\ast}\)-algebras with real rank zero and the Brown-Pedersen conjectures
- Multipliers of C -algebras
- Perfect 𝐶*-algebras
- K-Theory and Asymptotically Commuting Matrices
- The Exponential Rank of Inductive Limit $C^*$-Algebras.
- Homomorphisms From C(X) Into C*-Algebras
- ALMOST MULTIPLICATIVE MORPHISMS AND K-THEORY
- On the classification of 𝐶*-algebras of real rank zero: inductive limits of matrix algebras over non-Hausdorff graphs
- Simple $C^*$-algebras with the property weak (FU).
- Normal Elements of C ∗-Algebras of Real Rank Zero without Finite-Spectrum Approximants
- Extensions of Inductive Limits of Circle Algebras
- C*-Algebras With Real Rank Zero and The Internal Structure of Their Corona and Multiplier Algebras Part III
- The Marriage Problem
