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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Purely infinite, simple $C^{*}$-algebras arising from free product constructions. III


Authors: Marie Choda and Kenneth J. Dykema
Journal: Proc. Amer. Math. Soc. 128 (2000), 3269-3273
MSC (2000): Primary 46L09; Secondary 46L54
Published electronically: May 2, 2000
MathSciNet review: 1707512
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Abstract: In the reduced free product of C$^{*}$-algebras, $(A,\phi )=(A_{1},\phi _{1})*(A_{2},\phi _{2})$ with respect to faithful states $\phi _{1}$ and $\phi _{2}$, $A$ is purely infinite and simple if $A_{1}$ is a reduced crossed product $B\rtimes _{\alpha ,r}G$ for $G$ an infinite group, if $\phi _{1}$ is well behaved with respect to this crossed product decomposition, if $A_{2}\ne \mathbf{C}$ and if $\phi $ is not a trace.


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Additional Information

Marie Choda
Affiliation: Department of Mathematics, Osaka Kyoiku University, Asahigaoka, Kashiwara 582, Japan
Email: marie@cc.osaka-kyoiku.ac.jp

Kenneth J. Dykema
Affiliation: Department of Mathematics and Computer Science, Odense University, DK-5230 Odense M, Denmark
Address at time of publication: Department of Mathematics, Texas A&M University, College Station, Texas 77843-3368
Email: ken.dykema@math.tamu.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-00-05556-8
PII: S 0002-9939(00)05556-8
Received by editor(s): December 17, 1998
Published electronically: May 2, 2000
Communicated by: David R. Larson
Article copyright: © Copyright 2000 American Mathematical Society