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Right-angled Artin groups in the \(C^\infty\) diffeomorphism group of the real line. (English) Zbl 1398.20045

Summary: We prove that every right-angled Artin group embeds into the \(C^\infty\) diffeomorphism group of the real line. As a corollary, we show every limit group, and more generally every countable residually RAAG group, embeds into the \(C^\infty\) diffeomorphism group of the real line.

MSC:

20F36 Braid groups; Artin groups
58D05 Groups of diffeomorphisms and homeomorphisms as manifolds
20E26 Residual properties and generalizations; residually finite groups
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