Ideals generated by projections and inductive limit \(C^*\)-algebras

DOI10.1216/RMJM/1020171681zbMath1006.46036OpenAlexW2038811264MaRDI QIDQ1596566

Cornel Pasnicu

Publication date: 2 July 2002

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL31-3/CONT31-3/CONT31-3.html

zbMATH Keywords

inductive limit\(C^*\)-algebrasideal property\(GAH\)-algebrasgeneralized \(AH\)-algebras

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) General theory of (C^*)-algebras (46L05)

Related Items (10)

The ideal property in crossed products ⋮ The ideal property, the projection property, continuous fields and crossed products ⋮ Permanence properties for crossed products and fixed point algebras of finite groups ⋮ Krull dimension for \(\mathrm{C}^{\star}\)-algebras ⋮ Crossed products, the weak ideal property, and topological dimension zero ⋮ A classification of inductive limit C∗$C^{*}$‐algebras with ideal property ⋮ The Ideal Property and Traces ⋮ Approximations of \(C^{*}\)-algebras and the ideal property ⋮ On the decomposition theorems for \(C^*\)-algebras ⋮ \(A\mathbb T\) structure of \(AH\) algebras with the ideal property and torsion free \(K\)-theory

Cites Work

• \(C^*\)-algebras of real rank zero
• Shape equivalence, nonstable \(K\)-theory and \(AH\) algebras.
• \(K_ 0\) of multiplier algebras of \(C^*\)-algebras with real rank zero
• Extensions of AH algebras with the ideal property
• Extensions of C *-Algebras and Quasidiagonality
• Inductive Limits of Finite Dimensional C ∗ -Algebras
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