On the stable rank of algebras of operator fields over metric spaces

DOI10.1016/j.jfa.2004.10.020zbMath1067.46057arXivmath/0205119OpenAlexW2028531987MaRDI QIDQ1766555

Takahiro Sudo, Ping Wong Ng

Publication date: 8 March 2005

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

Full work available at URL: https://arxiv.org/abs/math/0205119

zbMATH Keywords

\(C^*\)-algebrarepresentationsstable rankcontinuous fieldnonstable \(K\)-theorybass stable rankalgebra of operator fieldsuniversal \(C^*\)-algebradiscrete nilpotent grouptwo-step

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Classifications of (C^*)-algebras (46L35)

Related Items (2)

Geometric structure of dimension functions of certain continuous fields ⋮ Symmetries on the discrete Heisenberg group C*-algebra

Cites Work

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• Topological representation of \(C^ *\)-algebras
• A theorem on dimension
• Simple quotients of group $C^*$-algebras for two step nilpotent groups and connected Lie groups
• Dimension and Stable Rank in the K -Theory of C^* -Algebras
• Projective Modules over Higher-Dimensional Non-Commutative Tori
• On the Structure of Twisted Group C ∗ -Algebras
• STABLE RANK OF THE C*-ALGEBRAS OF NILPOTENT LIE GROUPS

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