The primitive ideal space of two-step nilpotent group \(C^*\)-algebras

DOI10.1006/jfan.1994.1112zbMath0820.22004OpenAlexW2017771616MaRDI QIDQ1340818

Judith A. Packer, Lawrence W. Baggett

Publication date: 20 December 1994

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1994.1112

zbMATH Keywords

cocyclestwisted group algebrasJacobson topologyinduced representationsgroup \(C^*\)-algebrasdual spacesdual groupsfibresprincipal fibre bundlesprimitive ideal spaces2-step nilpotent, second countable, locally compact groupsirreducible \(*\)-representationssection algebras

Mathematics Subject Classification ID

(C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) General theory of (C^*)-algebras (46L05) Group algebras of locally compact groups (22D15) Character groups and dual objects (43A40)

Related Items

Induced characters, Mackey analysis and primitive ideal spaces of nilpotent discrete groups ⋮ Equivariant deformations of homogeneous spaces ⋮ On groups with quasidiagonal \(C^\ast\)-algebras ⋮ On the uniqueness of invariant states ⋮ Spectrum of a homogeneous graph ⋮ On the stable rank of algebras of operator fields over metric spaces ⋮ Crossed products by \(C_0(X)\)-actions ⋮ Stable rank of \(C^*\)-algebras of continuous fields

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