Purely infinite, simple -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

DOI:
https://doi.org/10.1090/S0002-9939-00-05556-8

Published electronically:
May 2, 2000

MathSciNet review:
1707512

Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: In the reduced free product of C-algebras, with respect to faithful states and , is purely infinite and simple if is a reduced crossed product for an infinite group, if is well behaved with respect to this crossed product decomposition, if and if 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:
https://doi.org/10.1090/S0002-9939-00-05556-8

Received by editor(s):
December 17, 1998

Published electronically:
May 2, 2000

Communicated by:
David R. Larson

Article copyright:
© Copyright 2000
American Mathematical Society