C*-algebras with norm controlled dual limits and nilpotent Lie groups

zbMath1331.22009arXiv1309.6941MaRDI QIDQ3450763

Jean Ludwig, Hedi Regeiba

Publication date: 9 November 2015

Full work available at URL: https://arxiv.org/abs/1309.6941

zbMATH Keywords

Fourier transformnilpotent Lie groupcoadjoint orbitnilpotent Lie algebragroup \(C^*\)-algebrainduced representationsolvable \(C^*\)-algebranorm controlled dual limit

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) Unitary representations of locally compact groups (22D10) Nilpotent and solvable Lie groups (22E25) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Decomposition theory for (C^*)-algebras (46L45)

Related Items (3)

On the isomorphism problem for C∗-algebras of nilpotent Lie groups ⋮ 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

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