K-THÉORIE BIVARIANTE POUR LES ALGÈBRES DE BANACH, GROUPOÏDES ET CONJECTURE DE BAUM–CONNES. AVEC UN APPENDICE D’HERVÉ OYONO-OYONO

DOI10.1017/S1474748007000084zbMath1135.19002WikidataQ122958381 ScholiaQ122958381MaRDI QIDQ5295393

Vincent Lafforgue

Publication date: 30 July 2007

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

zbMATH Keywords

Banach algebrahyperbolic groupBaum-Connes conjectureKasparov theory

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Hyperbolic groups and nonpositively curved groups (20F67) Kasparov theory ((KK)-theory) (19K35)

Related Items (11)

Controlled \(K\)-theory for groupoids \& applications to coarse geometry ⋮ Representations of étale groupoids on \(L^p\)-spaces ⋮ Homology andK-theory of dynamical systems I. Torsion-free ample groupoids ⋮ Groupoids decomposition, propagation and operator \(K\)-theory ⋮ The spectral radius in \(\mathcal{C}_0(X)\)-Banach algebras ⋮ The Baum–Connes conjecture: an extended survey ⋮ Morita equivalences and KK-theory for Banach algebras ⋮ A Baum-Connes conjecture for singular foliations ⋮ Relatively spectral morphisms and applications to K-theory ⋮ Quantitative \(K\)-theory and the Künneth formula for operator algebras ⋮ \(kk\)-theory for Banach algebras. II: Equivariance and Green-Julg type theorems

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