The \(C^*\)-algebra of \(ax+b\)-like groups

DOI10.1016/j.jfa.2010.01.004zbMath1208.22005OpenAlexW2074247476MaRDI QIDQ982492

Ying-Fen Lin, Jean Ludwig

Publication date: 7 July 2010

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2010.01.004

zbMATH Keywords

\(C^*\)-algebraunitary representationunitary dualalgebra of operator fields\(ax+b\)-like groups

Mathematics Subject Classification ID

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

Related Items (5)

A class of almost \(C_0(\mathcal{K})\)-C\(^\ast\)-algebras ⋮ The \(C^\ast\)-algebra of the variable Mautner group ⋮ The solvable Lie group \(N_{6, 28}\): an example of an almost \(C_0(\mathcal{K})\)-\(C^*\)-algebra ⋮ The \(C^*\)-algebra of the Heisenberg motion groups \(\mathbb{T}^n\times\mathbb{H}_n\) ⋮ The \(C^\ast\)-algebras of connected real two-step nilpotent Lie groups

Cites Work

• The \(C^*\)-algebras of the Heisenberg group and of thread-like Lie groups
• The structure of algebras of operator fields
• Limit sets and strengths of convergence for sequences in the duals of thread-like Lie groups
• *-regularity of exponential Lie groups
• Primitive ideals in enveloping algebras
• Unitary representation theory of exponential Lie groups
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