  We study dynamics of the Latt\`es maps in the complex plane in terms of the
Cuntz-Krieger algebras associated to the endomorphisms of the non-commutative
tori. In particular, it is shown that iterations of the Latt\`es maps can be
reduced to the dynamics of the subshifts of finite type. Using such a
reduction, we calculate the zeta function of the Latt\`es maps.
