Primitive ideal spaces, characters, and Kirillov theory for discrete nilpotent groups
From MaRDI portal
Publication:1371034
DOI10.1006/jfan.1997.3115zbMath0882.43009OpenAlexW2080926845MaRDI QIDQ1371034
William Moran, Lawrence W. Baggett, Eberhard Kaniuth
Publication date: 2 March 1998
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jfan.1997.3115
charactersPlancherel formulaBochner theoremnilpotent groupsharmonic analysisKirillov theorydiscrete nilpotent groupsFrobenius reciprocity property
Nilpotent and solvable Lie groups (22E25) Analysis on specific locally compact and other abelian groups (43A70)
Related Items
Flatness Conditions on Finitep-Groups, Induced characters, Mackey analysis and primitive ideal spaces of nilpotent discrete groups, Supercharacters of discrete algebra groups, Unnamed Item, On simplicity of reduced C*-algebras of groups
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Ideals in group algebras of finitely generated FC-nilpotent discrete groups
- The structure of algebras of operator fields
- Weak containment and tensor products of group representations
- Ein maximales Mass, dessen Träger keine Extremalpunkte enthält
- Die unzerlegbaren Charaktere einiger diskreter Gruppen
- Representations of \(AF\)-algebras and of the group \(U(\infty)\)
- Nilpotent groups
- Kirillov theory for compact p-adic groups
- On representations of discrete, finitely generated, torsion-free, nilpotent groups
- The Fourier transform for nilpotent locally compact groups. I
- On factor representations of discrete rational nilpotent groups and the Plancherel formula
- A Kirillov theory for divisible nilpotent groups
- Minimal primal and Glimm ideal spaces of group \(C^*\)-algebras
- On a Plancherel formula for certain discrete, finitely generated, torsion-free nilpotent groups
- Über unitäre Darstellungen abzählbarer, diskreter Gruppen
- Structure in simplexes
- Über das reguläre Maß im dualen Raum diskreter Gruppen
- Amenable actions of locally compact groups
- Topology in duals of SIN-groups
- On the primitive ideal space of a finitely generated nilpotent group
- Characters of nilpotent groups
- Topological Frobenius properties for nilpotent groups. II.
- Discrete nilpotent groups have a $T_{1}$ primitive ideal space
- Transition probabilities and trace functions for $C^*$-algebras.
- Primitive Ideal Spaces of Discrete Rational Nilpotent Groups
- Topologies for Primal Ideals
- Positive Definite Measures
- Locally compact transformation groups and 𝐶*- algebras
- Weak Containment and Induced Representations of Groups
- The L 1 - and C ∗ -Algebras of [ FIA - B Groups, and Their Representations]
- Sur les groupes nilpotents et les anneaux de Lie