  We show that the method to construct C^*-algebras from topological graphs,
introduced in our previous paper, generalizes many known constructions. We give
many ways to make new topological graphs from old ones, and study the relation
of C^*-algebras constructed from them. We also prove that our C^*-algebras have
a certain characterization. This gives us another definition of our
C^*-algebras.

Operator Algebras