EXTENSION ALGEBRAS OF CUNTZ ALGEBRA, II

In this paper, we construct the unique (up to isomorphism) extension algebra, denoted by E-infinity of the Cuntz algebra O-infinity, by the C*-algebra of compact operators on a separable infinite-dimensional Hilbert space. We prove that two unital monomorphisms from E-infinity to a unital purely infinite simple C*-algebra are approximately unitarily equivalent if and only if they induce the same homomorphisms in K-theory.