Relative braid group symmetries on $\mathrm{ı}$quantum groups of Kac-Moody type

Recently, relative braid group actions on $\mathrm{ı}$quantum groups of arbitrary finite types have been constructed by Wang and the author. In this paper, we extend that construction to $\mathrm{ı}$quantum groups of Kac-Moody type. We formulate root vectors for $\mathrm{ı}$quantum groups in both recursive forms and closed $\mathrm{ı}$divided power forms. We show that the relative braid group symmetries send root vectors to root vectors.