×

zbMATH — the first resource for mathematics

A proof of the Baum-Connes conjecture for reductive adelic groups. (English. Abridged French version) Zbl 1105.19300
Summary: Let \(F\) be a global field, \(\mathbb{A}\) its ring of adeles, and \(G\) a reductive group over \(F\). We prove the Baum-Connes conjecture for the adelic group \(G(\mathbb{A})\).

MSC:
19K35 Kasparov theory (\(KK\)-theory)
20G35 Linear algebraic groups over adèles and other rings and schemes
46L80 \(K\)-theory and operator algebras (including cyclic theory)
PDF BibTeX XML Cite
Full Text: DOI arXiv