An infinite C*-algebra with a dense, stably finite *-subalgebra
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- by Niels Jakob Laustsen and Jared T. White PDF
- Proc. Amer. Math. Soc. 146 (2018), 2523-2528 Request permission
Abstract:
We construct a unital pre-C*-algebra $A_0$ which is stably finite, in the sense that every left invertible square matrix over $A_0$ is right invertible, while the C*-completion of $A_0$ contains a nonunitary isometry, and so it is infinite.References
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Additional Information
- Niels Jakob Laustsen
- Affiliation: Department of Mathematics and Statistics, Lancaster University, Lancaster LA1 4YF, United Kingdom
- MR Author ID: 640805
- Email: n.laustsen@lancaster.ac.uk
- Jared T. White
- Affiliation: Department of Mathematics and Statistics, Lancaster University, Lancaster LA1 4YF, United Kingdom
- Email: j.white6@lancaster.ac.uk
- Received by editor(s): May 4, 2017
- Received by editor(s) in revised form: August 14, 2017
- Published electronically: March 9, 2018
- Communicated by: Adrian Ioana
- © Copyright 2018 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 146 (2018), 2523-2528
- MSC (2010): Primary 46L05; Secondary 20M25, 46L09
- DOI: https://doi.org/10.1090/proc/13931
- MathSciNet review: 3778154