Simplicity and the stable rank of some free product C*-algebras

Dykema, Kenneth

doi:10.1090/S0002-9947-99-02180-7

Simplicity and the stable rank
of some free product C $^{*}$ -algebras

Author: Kenneth J. Dykema
Journal: Trans. Amer. Math. Soc. 351 (1999), 1-40
MSC (1991): Primary 46L05, 46L35
DOI: https://doi.org/10.1090/S0002-9947-99-02180-7
MathSciNet review: 1473439
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Abstract: 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.

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