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)
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Publication:4219596
DOI10.1016/S0764-4442(99)80019-6zbMath0911.46042WikidataQ122973026 ScholiaQ122973026MaRDI QIDQ4219596
Publication date: 26 April 1999
Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)
torsion-free groupsindex theoryBaum-Connes conjecturereduced \(C^*\)-algebragroup \(C^*\)-algebraKazhdan's property \((T)\)convolution algebraenveloping \(C^*\)-algebrabivariant \(K\)-functor
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How to prove the Baum-Connes conjecture for the groups \(S p(n, 1)\)? ⋮ Strong Haagerup inequalities for free \(\mathfrak R\)-diagonal elements ⋮ Bredon homology and equivariant \(K\)-homology of \(\mathrm{SL}(3,\mathbb Z)\) ⋮ On the Farrell-Jones Conjecture and its applications ⋮ Strong Haagerup inequalities with operator coefficients ⋮ The trace on the \(K\)-theory of group \(C^*\)-algebras ⋮ Unbounded symmetric operators in \(K\)-homology and the Baum-Connes conjecture ⋮ Haagerup's inequality, groupoïds and Euclidean buildings ⋮ The Baum-Connes conjecture with coefficients for the group \(\text{Sp}(n,1)\) ⋮ Rips-Segev torsion-free groups without the unique product property
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