Right-angled Artin subgroups of the $C^{\infty }$ diffeomorphism group of the real line

Abstract

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.

Very small changes following a referee report. To appear in Israel J. Math

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