Induced characters, Mackey analysis and primitive ideal spaces of nilpotent discrete groups
DOI10.1016/J.JFA.2006.04.019zbMath1107.22002OpenAlexW1980579541MaRDI QIDQ860784
Publication date: 9 January 2007
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfa.2006.04.019
charactertracehull-kernel topologyinductionprimitive idealNilpotent groupinduced characterinduced traceMackey analysissubgroup-character pair
Nilpotent groups (20F18) Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) General theory of (C^*)-algebras (46L05) Nilpotent and solvable Lie groups (22E25) Induced representations for locally compact groups (22D30) Group algebras of locally compact groups (22D15)
Related Items (6)
Cites Work
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- Ideals in group algebras of finitely generated FC-nilpotent discrete groups
- A description of the topology on the dual space of a nilpotent Lie group
- Prime ideals in the \(C^*\)-algebra of a nilpotent group
- Weak containment and tensor products of group representations
- Weak Frobenius reciprocity and compactness conditions in topological groups
- On representations of discrete, finitely generated, torsion-free, nilpotent groups
- The Fourier transform for nilpotent locally compact groups. I
- The structure of crossed product C*-algebras: A proof of the generalized Effros-Hahn conjecture
- Remarks on characters of discrete nilpotent groups
- The local structure of twisted covariance algebras
- The primitive ideal space of two-step nilpotent group \(C^*\)-algebras
- Primitive ideal spaces, characters, and Kirillov theory for discrete nilpotent groups
- Über unitäre Darstellungen abzählbarer, diskreter Gruppen
- Zur harmonischen Analyse klassenfiniter Gruppen
- On some \(C^ *\)-algebras considered by Glimm
- Structure in simplexes
- Amenable actions of locally compact groups
- On the primitive ideal space of a finitely generated nilpotent group
- A Hausdorff Topology for the Closed Subsets of a Locally Compact Non-Hausdorff Space
- Characters of nilpotent groups
- Discrete nilpotent groups have a $T_{1}$ primitive ideal space
- Characters of the discrete Heisenberg group and of its completion
- Positive Definite Measures
- Weak Containment and Induced Representations of Groups
- The L 1 - and C ∗ -Algebras of [ FIA - B Groups, and Their Representations]
- Finitely generated cyclic extensions of free groups are residually finite
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