\(R\)-groups and geometric structure in the representation theory of \(\text{SL}(N)\)

DOI10.4171/JNCG/55zbMath1190.33023arXivmath/0612273MaRDI QIDQ961998

Roger Plymen, Jamila Jawdat

Publication date: 1 April 2010

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0612273

zbMATH Keywords

\(K\)-theorylocal fieldspecial linear groupreduced \(C^*\)-algebra\(L\)-packetselliptic representations

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items (1)

GEOMETRIC STRUCTURE IN THE TEMPERED DUAL OF SL_ℓ(F): TORAL CASE

Cites Work

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• \(R\)-groups and elliptic representations for \(SL_ n\)
• Reduced \(C ^{*}\)-algebra of the \(p\)-adic group \(GL(n)\). II
• Geometric structure in the representation theory of \(p\)-adic groups
• Reduced \(C^*\)-algebra for reductive p-adic groups
• Seminar on Transformation Groups. (AM-46)
• The Fourier Transform and Some Character Formulae for P-ADIC SL ℓ ,ℓ a Prime

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