Reduced \(C^*\)-algebra for reductive p-adic groups

DOI10.1016/0022-1236(90)90105-TzbMath0718.22003MaRDI QIDQ2639183

Roger Plymen

Publication date: 1990

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

zbMATH Keywords

unitary representationrational pointslocally compact groupreductive grouplocal fieldleft regular representationsquare integrable representationsLevi subgroupp-adic fieldunitary characterspartial Fourier transformreductive p-adic groups\(C^ *\)-Plancherel theoremreduced \(C^ *\)- algebra

Mathematics Subject Classification ID

(C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) General theory of (C^*)-algebras (46L05) Analysis on (p)-adic Lie groups (22E35)

Related Items (5)

On the classification of irreducible representations of affine Hecke algebras with unequal parameters ⋮ Some aspects of the geometric structure of the smooth dual of $p$-adic reductive groups ⋮ Conjectures about 𝑝-adic groups and their noncommutative geometry ⋮ \(R\)-groups and geometric structure in the representation theory of \(\text{SL}(N)\) ⋮ Unnamed Item

Cites Work

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• Trace Paley-Wiener theorem for reductive p-adic groups
• On the decomposition of reducible principal series representations of p- adic Chevalley groups
• Primitive ideals in enveloping algebras
• The Knapp-Stein Dimension Theorem for p-Adic Groups. Correction
• The Dual Spaces of C ∗ -Algebras
• $L$-indistinguishability and $R$-groups for quasisplit groups : unitary groups in even dimension
• On Certain L-Functions

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