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The \(C^*\)-algebra of the semi-direct product \(K \ltimes A\)

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Publication:779997
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DOI10.1007/S00605-020-01418-3zbMath1453.22005arXiv1904.09873OpenAlexW3033841276MaRDI QIDQ779997

Jean Ludwig, Hedi Regeiba

Publication date: 14 July 2020

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.09873


zbMATH Keywords

Fourier transform\(C^*\)-algebras of Lie groupsalgebras of operator fields


Mathematics Subject Classification ID

(C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Unitary representations of locally compact groups (22D10) Decomposition theory for (C^*)-algebras (46L45)





Cites Work

  • The \(C^{*}\)-algebra of the motion group \(SO(N) \ltimes \mathbb R^n\)
  • Orbit theory and harmonic analysis on Lie groups with co-compact nilradical
  • Unitary representation theory of exponential Lie groups
  • Subalgebras of \(C^ *\)-algebras
  • Induced representation of locally compact groups. I
  • A Description of the Topology on the Dual Spaces of Certain Locally Compact Groups
  • Weak Containment and Induced Representations of Groups
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