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

abstract

  • Let (A, φ) be the reduced free product of infinitely many C*-algebras (Aι, φι) with respect to faithful states. Assume that the Aι are not too small, in a specific sense. If φ is a trace then the positive cone of K0(A) is determined entirely by K0(φ). If, furthermore, the image of K0(φ) is dense in ℝ, then A has real rank zero. On the other hand, if φ is not a trace then A is simple and purely infinite.

author list (cited authors)

  • Dykema, K. J., & Rørdam, M.

citation count

  • 4

publication date

  • May 2000