Approximations of \(C^{*}\)-algebras and the ideal property
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Publication:2473949
DOI10.1016/j.jmaa.2007.05.074zbMath1139.46040OpenAlexW2000042597MaRDI QIDQ2473949
Cornel Pasnicu, José R. Carrión
Publication date: 5 March 2008
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.05.074
extensionRiesz decomposition propertyreal rank zero\(C^{*}\)-algebraquasidiagonal extensionlocal approximationideal propertyweak projection property\(LS\) algebra\(SLB\) algebra\(WLB\) algebraideal generated by projectionslargest ideal with the ideal propertyminimal tensor product
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Cites Work
- On the classification of \(C^*\)-algebras of real rank zero. II
- The ideal property, the projection property, continuous fields and crossed products
- On the classification of simple inductive limit \(C^{*}\)-algebras. II: The isomorphism theorem
- \(C^*\)-algebras of real rank zero
- A classification result for approximately homogeneous \(C^*\)-algebras of real rank zero
- Shape equivalence, nonstable \(K\)-theory and \(AH\) algebras.
- Tensor products of \(C^*\)-algebras with the ideal property
- Ideals generated by projections and inductive limit \(C^*\)-algebras
- On the classification of simple inductive limit \(C^*\)-algebras. I: The reduction theorem
- \(K_ 0\) of multiplier algebras of \(C^*\)-algebras with real rank zero
- \(A\mathbb T\) structure of \(AH\) algebras with the ideal property and torsion free \(K\)-theory
- On the cross-norm of the direct product of \(C^ *\)-algebras
- The Ideal Property and Traces
- K 1 -Groups, Quasidiagonality, and Interpolation by Multiplier Projections
- Extensions of AH algebras with the ideal property
- Reduction to dimension three of local spectra of real rank zero C*-algebras.
- On inductive limits of matrix algebras over higher dimensional spaces, part II.
- The Projection Property
- Injectivity of the Connecting Maps in AH Inductive Limit Systems
- The ideal property in crossed products
- Extensions of C *-Algebras and Quasidiagonality
- Purely infinite C*-algebras of real rank zero
- Inductive Limits of Finite Dimensional C ∗ -Algebras
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