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A simple separable C*-algebra not isomorphic to its opposite algebra
Author(s):
N.
Christopher
Phillips
Journal:
Proc. Amer. Math. Soc.
132
(2004),
2997-3005.
MSC (2000):
Primary 46L35
Posted:
June 2, 2004
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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  , and its  -group is order isomorphic to a countable subgroup of  .
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Additional Information:
N.
Christopher
Phillips
Affiliation:
Department of Mathematics, University of Oregon, Eugene, Oregon 97403-1222
DOI:
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
Posted:
June 2, 2004
Additional Notes:
Research partially supported by NSF grant DMS 0070776.
Communicated by:
David R. Larson
Copyright of article:
Copyright
2004,
American Mathematical Society
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