Projections in free product C $^*$ -algebras, II
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Let (A, ) be the reduced free product of infinitely many C*-algebras (A, ) with respect to faithful states. Assume that the A are not too small, in a specific sense. If is a trace then the positive cone of K0(A) is determined entirely by K0(). If, furthermore, the image of K0() is dense in , then A has real rank zero. On the other hand, if is not a trace then A is simple and purely infinite.
author list (cited authors)
Dykema, K. J., & Rrdam, M.
complete list of authors
Dykema, Kenneth J||Rørdam, Mikael