On the behaviour of sequences in the dual of a nilpotent Lie group

DOI10.1007/BF01446891zbMath0675.22003WikidataQ115393513 ScholiaQ115393513MaRDI QIDQ1122009

Jean Ludwig

Publication date: 1990

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164683

zbMATH Keywords

Lie algebranilpotent Lie grouprepresentationsC*-algebralimit pointscluster pointsminimal dense idealKirillov orbitslimit orbit

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Analysis on other specific Lie groups (43A80) Character groups and dual objects (43A40)

Related Items (11)

Upper multiplicity and bounded trace ideals in \(C^*\)-algebras ⋮ The \(C^*\)-algebras of the Heisenberg group and of thread-like Lie groups ⋮ Strength of convergence in non-free transformation groups ⋮ Lower multiplicity for irreducible representations of nilpotent locally compact groups ⋮ On the isomorphism problem for C∗-algebras of nilpotent Lie groups ⋮ Limit sets and strengths of convergence for sequences in the duals of thread-like Lie groups ⋮ Strength of convergence in duals of \(C^*\)-algebras and nilpotent Lie groups ⋮ Strength of convergence in the orbit space of a groupoid ⋮ Strength of convergence in the orbit space of a transformation group ⋮ Bounded trace \(C^*\)-algebras and integrable actions ⋮ Sur les groupes $EXT^n$ des représentations des groupes de Lie semi-simples

Cites Work

• The elements of bounded trace in the \(C^*\)-algebra of a nilpotent Lie group
• Dual topology of a nilpotent Lie group
• Unitary representations of solvable Lie groups

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