ON INDUCTIVE LIMITS OF MATRIX ALGEBRAS OVER THE 2-TORUS

It will be shown in this paper that certain real rank zero C-algebras which are inductive limits of C-algebras of the form +(i)M(ki) (C(T- 2)) can be expressed as inductive limits of C-algebras of the form +( i)M(ki) (C(S-1)). In particular, if both A and B are of real rank zero and are inductive limits of C-algebras of the form +(i)M(ki) (C(S-1) ), then also A x B is an inductive limit of C-algebras of the form +( i)M(ki) (C(S-1)). (Hence, A x B can be classified by its K-theory.) Th is is a key step in the general classification theory of inductive lim it C-algebras.