  This paper studies expansions of bounded distributive lattices equipped with
a Galois connection. We introduce GC-frames and canonical frames for these
algebras. The complex algebras of GC-frames are defined in terms of rough set
approximation operators. We prove that each bounded distributive lattice with a
Galois connection can be embedded into the complex algebra of its canonical
frame. We show that for every spatial Heyting algebra $L$ equipped with a
Galois connection, there exists a GC-frame such that $L$ is isomorphic to the
complex algebra of this frame, and an analogous result holds for weakly atomic
Heyting-Brouwer algebras with a Galois connection. In each case of
representation, given Galois connections are represented by rough set upper and
lower approximations.
