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

Published 16 May 2017 in math.OA and math.FA | (1705.05835v2)

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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