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 -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:
https://doi.org/10.1090/S0002-9939-2011-10988-2

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.