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ISSN 1088-6850(e) ISSN 0002-9947(p)

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

Author(s): Kenneth J. Dykema
Journal: Trans. Amer. Math. Soc. 351 (1999), 1-40.
MSC (1991): Primary 46L05, 46L35
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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