Stable rank of \(C^*\)-algebras of continuous fields

DOI10.3836/tjm/1244208287zbMath1091.46033OpenAlexW2001047476MaRDI QIDQ2566549

Takahiro Sudo

Publication date: 26 September 2005

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1244208287

zbMATH Keywords

stable rankHeisenberg groupsgroup \(C^*\)-algebrascontinuous fields

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) General theory of (C^*)-algebras (46L05)

Related Items (3)

Rokhlin dimension: duality, tracial properties, and crossed products ⋮ Good Wannier bases in Hilbert modules associated to topological insulators ⋮ Stable rank of some noncommutative manifolds

Cites Work

• The structure of algebras of operator fields
• Continuous fields of \(C^*\)-algebras coming from group cocycles and actions
• Applications of fibre bundles to the certain class of \(C^*\)-algebras
• Reduction of topological stable rank in inductive limits of \(C^*\)- algebras
• Some groups whose reduced \(C^*\)-algebras have stable rank one
• The structure of the irrational rotation \(C^*\)-algebra
• The primitive ideal space of two-step nilpotent group \(C^*\)-algebras
• The stable rank of some free product \(C^*\)-algebras
• Dimension theory of group \(C^*\)-algebras of connected Lie groups of type I
• Multipliers of C -algebras
• Ranks of Algebras of ContinuousC*-Algebra Valued Functions
• A Cancellation Theorem for Modules Over the Group C*-Algebras of Certain Nilpotent Lie Groups
• Dimension and Stable Rank in the K -Theory of C^* -Algebras
• On the Structure of Twisted Group C ∗ -Algebras
• Rangs Stables De Certaines Extensions
• Cut-Down Method in the Inductive Limit Decomposition of Non-Commutative Tori
• \(C^*\)-algebras by example
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