\(K\)-theory for Sp\((n,1)\)

DOI10.1016/J.JFA.2004.05.011zbMath1082.46050OpenAlexW1993685142MaRDI QIDQ1772697

Nicolas Prudhon

Publication date: 21 April 2005

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2004.05.011

zbMATH Keywords

\(K\)-theorygroup \(C^*\)-algebraBaum-Connes map

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80)

Related Items (2)

Exotic crossed products and the Baum-Connes conjecture ⋮ Exotic ideals in the Fourier-Stieltjes algebra of a locally compact group

Cites Work

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• The Künneth theorem and the universal coefficient theorem for Kasparov's generalized K-functor
• The unitary dual of \(Sp(n,1)\), \(n\geq 2\)
• A geometric construction of the discrete series for semisimple Lie groups
• Singular unitary representations and indefinite harmonic theory
• \(K\)-theory of the full \(C^*\)-algebra of \(SL_{3}(\mathbb C)\)
• The unitary spectrum for real rank one groups
• Induction parabolique et -théorie de -algèbres maximales
• The Dual Spaces of C ∗ -Algebras
• K-THEORY FOR THE REDUCED C-ALGEBRA OF A SEMI-SIMPLE LIE GROUP WITH REAL RANK 1 AND FINITE CENTRE
• Irreducible representations of locally compact groups that cannot be Hausdorff separated from the identity representation.
• Composition factors of the principal series representations of the group 𝑆𝑝(𝑛,1)
• The Regular Group C ∗ -Algebra for Real-Rank One Groups

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