On higher real and stable ranks for $CCR$ $C^*-$algebras

DOI10.1090/tran/6616zbMath1350.46037arXiv0708.3072OpenAlexW1525853300MaRDI QIDQ2796098

Lawrence G. Brown

Publication date: 23 March 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.3072

zbMATH Keywords

irreducible representation\(C^*\)-algebrastable rankextensionreal rankCCRcontinuous tracegeneralized continuous trace

Mathematics Subject Classification ID

Noncommutative topology (46L85) (K)-theory and operator algebras (including cyclic theory) (46L80) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) General theory of (C^*)-algebras (46L05) Decomposition theory for (C^*)-algebras (46L45)

Related Items (max. 100)

The generator rank of subhomogeneous -algebras ⋮ Stable ranks of split extensions of Banach algebras ⋮ Separation properties in the primitive ideal space of a multiplier algebra

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(C^*\)-algebras of real rank zero
• Stable isomorphism of hereditary subalgebras of \(C^*\)-algebras
• Structure spaces of approximately finite-dimensional C*-algebras. II
• The stable range of \(C^*\)-algebras
• Traces sur les \(C^*\)-algèbres
• Ranks of Algebras of ContinuousC*-Algebra Valued Functions
• A Cancellation Theorem for Modules Over the Group C*-Algebras of Certain Nilpotent Lie Groups
• Non-Commutative Dimension for C*-Algebras
• Dimension and Stable Rank in the K -Theory of C^* -Algebras
• Limits and C*-algebras of low rank or dimension
• Semicontinuity and Multipliers of C*-Algebras
• THE REAL RANK OF ALGEBRAS OF MATRIX VALUED FUNCTIONS
• GENERALIZED WEYL-VON NEUMANN THEOREMS
• Stable rank and real rank for some classes of group 𝐶*-algebras
• Decomposition Rank of Subhomogeneous C*-Algebras
• Real Rank of Crossed products by Connected Compact Groups
• Rang Reel de Certaines Extensions
• Champs continus d'espaces hilbertiens et de $C^*$-algèbres
• Double Centralizers and Extensions of C ∗ -Algebras

This page was built for publication: On higher real and stable ranks for $CCR$ $C^*-$algebras