CLASSIFICATION OF CERTAIN INFINITE SIMPLE C-ASTERISK-ALGEBRAS

The class of C-algebras, that arise as the crossed product of a stabl e simple AF-algebra with a Z-action determined by an automorphism, whi ch maps a projection in the algebra onto a proper subprojection, is pr oved to consist of simple, purely infinite C-algebras, and a specific subclass of it is proved to be classified by K-theory. This subclass is large enough to exhaust all possible K-groups: if G(0) and G(1) are countable abelian groups, with G(1) torsion free (as it must be), the n there is a C-algebras A in the classified subclass with K-0(A)congr uent to G(0) and K-1(A)congruent to G(1). The subclass contains the Cu ntz algebras O-n, with n even, and the Cuntz-Krieger algebras O-A, wit h K-0(O-A) of finite old order, and it is closed under forming inducti ve limits. The C-algebras in the classified subclass can be viewed as classifiable models (in a strong sense) of general, simple purely inf inite C-algebras with the Same K-theory. (C) 1995 Academic Press, Inc .