Projections in free product C*-algebras, II

Details Projections in free product C*-algebras, II Projections in free product C*-algebras, II

1999-11-02

arxiv.org/abs/math/9911009v1

Math. Z. 234 (2000) pp. 103-113

Mathematics

Operator Algebras

Scientific paper

Let (A,phi) be the reduced free product of infinitely many pairs (A_i,phi_i) of C*-algebras with faithful states. Assume that the A_i are not too small, in a specific sense. It is shown that if phi is a trace then K_0(A) is determined entirely by K_0(phi). If, furthermore, the image of K_0(phi) is dense in the reals then A has real rank zero. On the other hand, if phi is not a trace then A is simple and purely infinite.

Affiliated with

Also associated with

No associations

Rating

Projections in free product C*-algebras, II does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Projections in free product C*-algebras, II, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Projections in free product C*-algebras, II will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-714966