Purely infinite, simple C*-algebras arising from free product constructions, II
Abstract
Certain reduced free products of C*-algebras, (A,phi)=(A1,phi1)*(A2,φ2), taken with respect to faithful states, at least one of which is not a trace, are shown to be purely infinite and simple. It is assumed that one of the Ai contain a partial isometry in the spectral subspace of phii corresponding to a positive number not equal to one. For example, if A1 and A2 are copies of the two-by-two complex matrices and if phi1 and phi2 are not unitarily conjugate, it is shown that A is simple and purely infinite.
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