The Stable Rank of Some Free Product C ∗-Algebras

  title={The Stable Rank of Some Free Product C ∗-Algebras},
  author={Ken Dykema and Uffe Haagerup},
A necessary and sufficient condition for the simplicity of the C∗– algebra reduced free product of finite dimensional abelian algebras is found, and it is proved that the stable rank of every such free product is 1. Related results about other reduced free products of C∗–algebras are proved. Introduction The reduced free product of C∗–algebras with respect to given states was introduced independently by Voiculescu [19] and Avitzour [2]. It is the appropriate construction associated to… CONTINUE READING
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