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

Hyungryul Baik, Sang-hyun Kim, Thomas Koberda

Published 2014-04-22, updated 2015-02-16Version 4

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.