  For a K\"ahler manifold $X$ equipped with a prequantum line bundle $L$, we
give a geometric construction of a family of representations of the
Berezin-Toeplitz deformation quantization algebra
$(C^\infty(X)[[\hbar]],\star_{BT})$ parametrized by points $z_0 \in X$. The key
idea is to use peak sections to suitably localize the Hilbert spaces
$H^{0}\left(X,L^{\otimes m}\right)$ around $z_{0}$ in the large volume limit.
