The \(C^\ast\)-algebras of connected real two-step nilpotent Lie groups

DOI10.1007/S13163-015-0177-7zbMath1339.22005arXiv1409.5635OpenAlexW93350421WikidataQ115376175 ScholiaQ115376175MaRDI QIDQ262634

Janne-Kathrin Günther, Jean Ludwig

Publication date: 30 March 2016

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.5635

zbMATH Keywords

Fourier transform\(C^\ast\)-algebranorm controlled dual limit propertytwo-step nilpotent Lie group

Mathematics Subject Classification ID

(C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Nilpotent and solvable Lie groups (22E25) Classifications of (C^*)-algebras (46L35)

Related Items (1)

The \(C^*\)-algebra of the Heisenberg motion groups \(\mathbb{T}^n\times\mathbb{H}_n\)

Cites Work

• The \(C^*\)-algebras of the Heisenberg group and of thread-like Lie groups
• The \(C^*\)-algebra of \(ax+b\)-like groups
• On the nilpotent \(*\)-Fourier transform
• Unitary representation theory of exponential Lie groups
• The C*-algebra of some 6-dimensional nilpotent Lie groups
• C*-algebras with norm controlled dual limits and nilpotent Lie groups
• Dual topology of a nilpotent Lie group
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