  Anderson's localization on the edge of two dimensional time reversal (TR)
topological insulator (TI) is studied. For the non-interacting case the
topological protection acts accordingly to the $\mathbb{Z}_2$ classification,
leading to conducting and insulating phases for odd and even fillings
respectively. In the presence of repulsive interaction the phase diagram is
notably changed. We show that for sufficiently strong values of the interaction
the zero temperature fixed point of the TI is conducting, including the case of
even fillings. We compute the boundaries of the conducting phase for various
fillings and types of disorder.
