The Baum-Connes conjecture with coefficients for the group \(\text{Sp}(n,1)\)

DOI10.1016/S1631-073X(02)02315-4zbMath1004.19003OpenAlexW2062632751WikidataQ123193346 ScholiaQ123193346MaRDI QIDQ1600182

Pierre Julg

Publication date: 2 February 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(02)02315-4

zbMATH Keywords

Lie groupBaum-Connes conjectureKK-theoryoperator \(K\)-theory

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Kasparov theory ((KK)-theory) (19K35) Noncommutative geometry (à la Connes) (58B34) Index theory (19K56)

Related Items (8)

Heisenberg-type groups and intertwining operators ⋮ The Cayley transform and uniformly bounded representations ⋮ Products of longitudinal pseudodifferential operators on flag varieties ⋮ The Bernstein-Gelfand-Gelfand complex and Kasparov theory for \(SL(3,\mathbb C)\) ⋮ Foliation \(C^\ast\)-algebras on multiply fibred manifolds ⋮ The Baum–Connes conjecture: an extended survey ⋮ Euler characteristics and Gysin sequences for group actions on boundaries ⋮ The Baum-Connes conjecture for KK-theory

Cites Work

• Equivariant KK-theory and the Novikov conjecture
• Pseudodifferential operators on groups with dilations
• Une démonstration de la conjecture de Baum-Connes pour les groupes réductifs sur un corps p-adique et pour certains groupes discrets possédant la propriété (T)
• Differential geometry on C-C spaces and application to the Novikov-Shubin numbers of nilpotent Lie groups
• \(E\)-theory and \(KK\)-theory for groups which act properly and isometrically on Hilbert space
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