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arXiv · 1705.05835

An Infinite C*-algebra with a Dense, Stably Finite *-Subalgebra

Niels Jakob Laustsen·Jared T. White
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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 non-unitary isometry, and so it is infinite.

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Niels Jakob Laustsen, Jared T. White. 2017-05-16. An Infinite C*-algebra with a Dense, Stably Finite *-Subalgebra. https://arxiv.org/abs/1705.05835

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