  We found the universal relationship between frequency-dependent spin-Hall
conductivity and magnetic susceptibility in clean 2D electron systems with
Rashba coupling: $\sigma_{sH}(\Omega)=
\frac{e}{(g\mu_B)^2m_b}\chi_\parallel(\Omega)$ in the presence of an arbitrary
two-particle spin-conserving interaction. We show that the Coulomb interaction
renormalizes the spin-Hall constant. The magnitude of the relative correction
to $\sigma_{sH}$ is proportional to the Coulomb interaction parameter
$e^2/\epsilon v_F\hbar$ and does not depend on the strength of the Rashba
coupling $\alpha$.
