  The Cohen-Macaulay Auslander algebra of any string algebra is explicitly
constructed in this paper. Furthermore, we show that a class of special string
algebras, which are called to be string algebras with G-condition, are
representation-finite if and only if their Cohen-Macaulay Auslander algebras
are representation-finite. Finally, the self-injective dimension of gentle
algebras is characterized using their Cohen-Macaulay Auslander algebras.
