Corners of Cuntz-Krieger algebras
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- by Sara E. Arklint and Efren Ruiz PDF
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Abstract:
We show that if $A$ is a unital $C^{*}$-algebra and $B$ is a Cuntz-Krieger algebra for which $A \otimes \mathbb {K} \cong B \otimes \mathbb {K}$, then $A$ is a Cuntz-Krieger algebra. Consequently, corners of Cuntz-Krieger algebras are Cuntz-Krieger algebras.References
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Additional Information
- Sara E. Arklint
- Affiliation: Department of Mathematical Sciences, University of Copenhagen, Universitets- parken 5, DK-2100 Copenhagen, Denmark
- Email: arklint@math.ku.dk
- Efren Ruiz
- Affiliation: Department of Mathematics, University of Hawaii, Hilo, 200 W. Kawili Steet, Hilo, Hawaii 96720-4091
- MR Author ID: 817213
- Email: ruize@hawaii.edu
- Received by editor(s): November 14, 2012
- Received by editor(s) in revised form: July 17, 2013
- Published electronically: March 4, 2015
- © Copyright 2015
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 367 (2015), 7595-7612
- MSC (2010): Primary 46L05
- DOI: https://doi.org/10.1090/S0002-9947-2015-06283-7
- MathSciNet review: 3391894