Projections in free product C $^*$ -algebras, II

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Projections in free product C*-algebras, II

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 purel...

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ژورنال

عنوان ژورنال: Mathematische Zeitschrift

سال: 2000

ISSN: 0025-5874,1432-1823

DOI: 10.1007/s002090050505