The solvable Lie group \(N_{6, 28}\): an example of an almost \(C_0(\mathcal{K})\)-\(C^*\)-algebra

DOI10.1016/j.aim.2014.12.001zbMath1321.46057arXiv1401.0644OpenAlexW2896600021WikidataQ115362047 ScholiaQ115362047MaRDI QIDQ488963

Jean Ludwig, Ying-Fen Lin, Junko Inoue

Publication date: 27 January 2015

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.0644

zbMATH Keywords

\(C^*\)-algebraexponential Lie groupunitary dualalgebra of operator fields

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) General theory of (C^*)-algebras (46L05)

Related Items (1)

A class of almost \(C_0(\mathcal{K})\)-C\(^\ast\)-algebras

Cites Work

• Unnamed Item
• 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
• The \(C^*\)-algebra of \(ax+b\)-like groups
• Fourier transforms for affine automorphism groups on Siegel domains
• Unitary representation theory of exponential Lie groups
• On some \(C^ *\)-algebras considered by Glimm
• Homogeneous bounded domains and Siegel domains
• Solvable Lie algebras of dimension six
• An isomorphism between group C *-algebras of ax + b -like groups

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