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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)
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