Limit sets and strengths of convergence for sequences in the duals of thread-like Lie groups

DOI10.1007/s00209-006-0023-1zbMath1194.22001OpenAlexW2149089212WikidataQ115388827 ScholiaQ115388827MaRDI QIDQ970197

Jean Ludwig, Robert J. Archbold, Guenter Schlichting

Publication date: 10 May 2010

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

Full work available at URL: https://doi.org/10.1007/s00209-006-0023-1

zbMATH Keywords

irreducible representationcharactertracenilpotent Lie grouplimit setdual spacestrength of convergencesequence

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) States of selfadjoint operator algebras (46L30) Character groups and dual objects (43A40)

Related Items

A class of almost \(C_0(\mathcal{K})\)-C\(^\ast\)-algebras ⋮ The \(C^*\)-algebras of the Heisenberg group and of thread-like Lie groups ⋮ The solvable Lie group \(N_{6, 28}\): an example of an almost \(C_0(\mathcal{K})\)-\(C^*\)-algebra ⋮ Strength of convergence in the orbit space of a groupoid ⋮ The \(C^*\)-algebra of \(ax+b\)-like groups ⋮ Completely bounded mappings and simplicial complex structure in the primitive ideal space of a $C^*$-algebra

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