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

2017/05/16 by Laustsen, Niels Jakob, White, Jared T.
#20M25 #46L05 (primary) #46L09 (secondary) #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1705.05835

Abstract

We construct a unital pre-C*-algebra A₀ which is stably finite, in the sense that every left invertible square matrix over A₀ is right invertible, while the C*-completion of A₀ contains a non-unitary isometry, and so it is infinite.

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