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arXiv · 1901.08807

On the Baum--Connes conjecture with coefficients for linear algebraic groups

Maarten Solleveld
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Abstract

We prove the Baum--Connes conjecture with arbitrary coefficients for some classes of groups: (1) Linear algebraic groups over a non-archimedean local field. (2) Linear algebraic groups over the adeles of a global field k, provided that at every archimedean place of k the associated Lie group is amenable. (3) All closed subgroups of the above groups. This includes linear algebraic groups over global fields - with the same condition as in (2). Update: proof of main results incomplete, maybe not repairable.

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Maarten Solleveld. 2019-01-25. On the Baum--Connes conjecture with coefficients for linear algebraic groups. https://arxiv.org/abs/1901.08807

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