Shapiro's lemma for topological \(K\)-theory of groups

DOI10.1007/s000140300009zbMath1030.19001OpenAlexW2048713951WikidataQ124829313 ScholiaQ124829313MaRDI QIDQ1409278

Jérôme Chabert, Hervé Oyono-Oyono, Siegfried Echterhoff

Publication date: 12 October 2003

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000140300009

zbMATH Keywords

Baum-Connes conjecturetopological \(K\)-theorycrossed product groupoid

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Kasparov theory ((KK)-theory) (19K35) Topological groupoids (including differentiable and Lie groupoids) (22A22) Group algebras of locally compact groups (22D15)

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Coarse geometry of Hecke pairs and the Baum-Connes conjecture ⋮ Groupoids decomposition, propagation and operator \(K\)-theory ⋮ The Bost conjecture and proper Banach algebras ⋮ The Baum-Connes conjecture via localization of Categories ⋮ The Bost conjecture, open subgroups and groups acting on trees ⋮ The relative Mishchenko-Fomenko higher index and almost flat bundles. I: The relative Mishchenko-Fomenko index ⋮ The Baum-Connes conjecture for KK-theory ⋮ Naturality of symmetric imprimitivity theorems ⋮ The orbit method for the Baum-Connes Conjecture for algebraic groups over local function fields ⋮ Going-down functors and the Künneth formula for crossed products by étale groupoids ⋮ A going-down principle for ample groupoids and the Baum-Connes conjecture

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