The C*algebra of a partial isometry
Authors:
Berndt Brenken and Zhuang Niu
Journal:
Proc. Amer. Math. Soc. 140 (2012), 199206
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 nonunital 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/S000299392011109882
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.
