Projections in free product C*-algebras, II
نویسنده
چکیده
Let (A; ') be the reduced free product of innnitely many C {algebras (A ; ') with respect to faithful states. Assume that the A are not too small, in a speciic sense. If ' is a trace then the positive cone of K 0 (A) is determined entirely by K 0 ('). If, furthermore, the image of K 0 (') is dense in R, then A has real rank zero. On the other hand, if ' is not a trace then A is simple and purely innnite.
منابع مشابه
2 N ov 1 99 9 Projections in free product C ∗ – algebras , II
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 in...
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