Projections in free product C $^*$ -algebras, II Academic Article uri icon

abstract

  • 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.

published proceedings

  • Mathematische Zeitschrift

author list (cited authors)

  • Dykema, K. J., & Rrdam, M.

citation count

  • 4

complete list of authors

  • Dykema, Kenneth J||Rørdam, Mikael

publication date

  • May 2000