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We present high resolution spectroscopy taken with the Keck EchelleteSpectrograph and Imager to measure stellar velocity dispersions for eightactive dwarf galaxies ($M_{\ast}<3\times10^{9}~M_{\odot}$) with virial blackhole masses. We double the number of systems in this stellar mass regime withmeasurements of both black hole mass ($M_{\rm BH}$) and stellar velocitydispersion ($\sigma_{\ast}$), and place them on the $M_{\rm BH}-\sigma_{\ast}$relation. The tight relation between $M_{\rm BH}$ and $\sigma_{\ast}$ forhigher mass galaxies is a strong piece of evidence for the co-evolution of BHsand their host galaxies, but it has been unclear whether this relation holds inthe dwarf galaxy regime. Our sample is in good agreement with the extrapolationof the $M_{\rm BH}-\sigma_{\ast}$ relation to low BH/galaxy masses, suggestingthat the processes which produce $M_{\rm BH}-\sigma_{\ast}$ can also operate indwarf galaxies. These results provide important constraints for massive blackhole seed formation models and models exploring the impact of AGN feedback indwarf galaxies.

Populating the low-mass end of the $M_{\rm BH}-\sigma_{\ast}$ relation