  We consider imaginary Verma modules for quantum affine algebra
  $U_q(\hat{\mathfrak{g}})$, where $\hat{\mathfrak{g}}$ is of type 1 i.e. of
non-twisted type, and construct Kashiwara type operators and the Kashiwara
algebra $\mathcal K_q$. We show that a certain quotient $\mathcal N_q^-$ of
  $U_q(\hat{\mathfrak{g}})$ is a simple $\mathcal K_q$-module.
