The C*-algebra of a partial isometry
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- by Berndt Brenken and Zhuang Niu PDF
- Proc. Amer. Math. Soc. 140 (2012), 199-206 Request permission
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.References
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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
- MR Author ID: 729911
- 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
- © Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 140 (2012), 199-206
- MSC (2010): Primary 46L35, 46L80, 47C15
- DOI: https://doi.org/10.1090/S0002-9939-2011-10988-2
- MathSciNet review: 2833532