Tensor products of \(C^*\)-algebras with the ideal property

DOI10.1006/jfan.2000.3630zbMath0989.46032OpenAlexW1992526876MaRDI QIDQ1589671

Cornel Pasnicu, Mikael Rørdam

Publication date: 19 March 2001

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.2000.3630

zbMATH Keywords

\(C^*\)-algebraprojectionstateideal propertyexact sequences of spatial tensor productsslice-map

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Tensor products of (C^*)-algebras (46L06)

Related Items (12)

The ideal property in crossed products ⋮ The Cuntz semigroup, a Riesz type interpolation property, comparison and the ideal property ⋮ The ideal property, the projection property, continuous fields and crossed products ⋮ Krull dimension for \(\mathrm{C}^{\star}\)-algebras ⋮ Goldie dimension for C*-algebras ⋮ On invariants of \(\mathrm C^{\ast}\)-algebras with the ideal property ⋮ Approximations of \(C^{*}\)-algebras and the ideal property ⋮ \(A\mathbb T\) structure of \(AH\) algebras with the ideal property and torsion free \(K\)-theory ⋮ Ideals in tensor products, topological dimension zero and the weak ideal property ⋮ Purely infinite C*-algebras of real rank zero ⋮ Chain conditions for \(C^\ast\)-algebras coming from Hilbert \(C^\ast\)-modules ⋮ On finiteness properties of Noetherian (Artinian) C*-algebras

Cites Work

• The full C*-algebra of the free group on two generators
• Dimension and Stable Rank in the K -Theory of C^* -Algebras
• Nonnuclear subalgebras of AF algebras
• Real Rank of Tensor Products of C ∗ -Algebras
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