Right-angled Artin subgroups of the C^(infty) diffeomorphism group of the real line
classification
🧮 math.GT
math.GR
keywords
groupdiffeomorphismeveryinftylinerealartinembeds
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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.
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