# A classification theorem for direct limits of extensions of circle algebras by purely infinite C*-algebras

Research paper by Efren Ruiz

Indexed on: 14 Aug '05Published on: 14 Aug '05Published in: Mathematics - Operator Algebras

#### Abstract

We give a classification theorem for a class of C*-algebras which are direct limits of extensions of circle algebras by purely infinite C*-algebras. The invariant consists of the following: (1) the set of Murray-von Neumann equivalence classes of projections; (2) the set of homotopy classes of hyponormal partial isometries; (3) a map d; and (4) total K-theory.