The ideal property, the projection property, continuous fields and crossed products

DOI10.1016/j.jmaa.2005.11.040zbMath1112.46043OpenAlexW1963864783MaRDI QIDQ855436

Cornel Pasnicu

Publication date: 7 December 2006

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.2005.11.040

zbMATH Keywords

projection propertycrossed productprimitive spectrumcontinuous field of \(C^*\)-algebrasideal property

Mathematics Subject Classification ID

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

Related Items

On invariants of \(\mathrm C^{\ast}\)-algebras with the ideal property ⋮ The small projections property of \(C^\ast\)-algebras ⋮ Approximations of \(C^{*}\)-algebras and the ideal property ⋮ Continuous fields of Kirchberg \(C^*\)-algebras

Cites Work

• The structure of algebras of operator fields
• Diagonality in \(C^*\)-algebras
• \(C^*\)-algebras of real rank zero
• Structure spaces of approximately finite-dimensional C*-algebras. II
• 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
• The Ideal Property and Traces
• The Topology on the Primitive Ideal Space of Transformation Group C ∗ - Algebras and C.C.R. Transformation Group C ∗ -Algebras
• 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
• The ideal property in crossed products
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