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

 

The C*-algebra of a partial isometry


Authors: Berndt Brenken and Zhuang Niu
Journal: Proc. Amer. Math. Soc. 140 (2012), 199-206
MSC (2010): Primary 46L35, 46L80, 47C15
Published electronically: May 11, 2011
MathSciNet review: 2833532
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Abstract: The universal C*-algebra generated by a partial isometry is a non-unital residually finite dimensional C*-algebra which is not exact. Many unitarily inequivalent partial isometries generating any given finite dimensional full matrix algebra are constructed. The $ K$-groups of this algebra are computed, and it is shown that all projections in the algebra are equivalent.


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Additional Information

Berndt Brenken
Affiliation: Department of Mathematics and Statistics, University of Calgary, Calgary, AB T2N 1N4, Canada

Zhuang Niu
Affiliation: Department of Mathematics and Statistics, Memorial University of Newfoundland, St. Johns, NL A1C 5S7, Canada

DOI: http://dx.doi.org/10.1090/S0002-9939-2011-10988-2
PII: S 0002-9939(2011)10988-2
Received by editor(s): October 1, 2009
Received by editor(s) in revised form: November 3, 2010
Published electronically: May 11, 2011
Communicated by: Marius Junge
Article copyright: © Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.