A Kirillov theory for divisible nilpotent groups

DOI10.1007/BF01446622zbMath0832.20054MaRDI QIDQ1345936

Alan L. Carey, William Moran, Charles E. M. Pearce

Publication date: 22 February 1996

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

Full work available at URL: https://eudml.org/doc/165284

zbMATH Keywords

Lie algebras\(C^*\)-algebrascomplete groupsKirillov theoryprimitive ideal spacesdivisible nilpotent groups

Mathematics Subject Classification ID

Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Nilpotent groups (20F18) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Nilpotent and solvable Lie groups (22E25)

Related Items (1)

Primitive ideal spaces, characters, and Kirillov theory for discrete nilpotent groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The structure of algebras of operator fields
• A description of the topology on the dual space of a nilpotent Lie group
• 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
• Über unitäre Darstellungen abzählbarer, diskreter Gruppen
• Type I \(C^ *\)-algebras
• UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS
• Characters of nilpotent groups
• Primitive Ideal Spaces of Discrete Rational Nilpotent Groups
• Dual topology of a nilpotent Lie group
• Locally compact transformation groups and 𝐶*-algebras
• Sur les groupes nilpotents et les anneaux de Lie

This page was built for publication: A Kirillov theory for divisible nilpotent groups