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

 

A simple separable C*-algebra not isomorphic to its opposite algebra


Author: N. Christopher Phillips
Journal: Proc. Amer. Math. Soc. 132 (2004), 2997-3005
MSC (2000): Primary 46L35
Published electronically: June 2, 2004
MathSciNet review: 2063121
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Abstract: We give an example of a simple separable C*-algebra that is not isomorphic to its opposite algebra. Our example is nonnuclear and stably finite, has real rank zero and stable rank one, and has a unique tracial state. It has trivial $K_1$, and its $K_0$-group is order isomorphic to a countable subgroup of ${\mathbf R}$.


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Additional Information

N. Christopher Phillips
Affiliation: Department of Mathematics, University of Oregon, Eugene, Oregon 97403-1222

DOI: http://dx.doi.org/10.1090/S0002-9939-04-07330-7
PII: S 0002-9939(04)07330-7
Received by editor(s): July 25, 2002
Received by editor(s) in revised form: February 21, 2003
Published electronically: June 2, 2004
Additional Notes: Research partially supported by NSF grant DMS 0070776.
Communicated by: David R. Larson
Article copyright: © Copyright 2004 American Mathematical Society