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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
Full-text PDF
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Additional Information
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  -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.
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