The \(C^{*}\)-algebra of the motion group \(SO(N) \ltimes \mathbb R^n\)

DOI10.1016/J.BULSCI.2010.10.002zbMath1216.46050OpenAlexW2035727503MaRDI QIDQ630620

Mounir Elloumi, Fatma Abdelmoula, Jean Ludwig

Publication date: 17 March 2011

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2010.10.002

zbMATH Keywords

\(C^*\)-algebramotion groupcompact operator

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 (3)

The \(C^*\)-algebra of the Heisenberg motion groups \(\mathbb{T}^n\times\mathbb{H}_n\) ⋮ The \(C^*\)-algebra of the semi-direct product \(K \ltimes A\) ⋮ Norms of inner derivations for multiplier algebras of \(C^\ast\)-algebras and group \(C^\ast\)-algebras. II.

Cites Work

• The \(C^*\)-algebras of the Heisenberg group and of thread-like Lie groups
• Dual topology of the motion groups
• A Description of the Topology on the Dual Spaces of Certain Locally Compact Groups
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