The Plancherel formula for countable groups

DOI10.1016/j.indag.2021.01.002OpenAlexW3119708228MaRDI QIDQ2020427

Mohammed El Bachir Bekka

Publication date: 23 April 2021

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.01065

zbMATH Keywords

harmonic analysisPlancherel theoremunitary group representations

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Unitary representations of locally compact groups (22D10) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30)

Related Items (3)

Supercharacters of discrete algebra groups ⋮ Finite central extensions of type I ⋮ An algebraic characterisation of ample type I groupoids

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some rationality questions on algebraic groups
• Primitive ideals in enveloping algebras
• On factor representations of discrete rational nilpotent groups and the Plancherel formula
• On a Plancherel formula for certain discrete, finitely generated, torsion-free nilpotent groups
• Über unitäre Darstellungen abzählbarer, diskreter Gruppen
• Type I \(C^ *\)-algebras
• Eine Charakterisierung diskreter Gruppen vom Typ I
• Der Typ der regulären Darstellung diskreter Gruppen
• Über das reguläre Maß im dualen Raum diskreter Gruppen
• The structure of the regular representation of certain discrete groups
• Group algebras in the large
• Induced representation of locally compact groups. I
• Groups with finite classes of conjugate subgroups
• Borel Structure in Groups and Their Duals
• Invariant measures for algebraic actions, Zariski dense subgroups and Kazhdan’s property (T)
• Unitary Representations of Groups, Duals, and Characters
• The Regular Representation of a Restricted Direct Product of Finite Groups
• An extension of Plancherel's formula to separable unimodular groups

This page was built for publication: The Plancherel formula for countable groups