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arXiv · 1603.07199

Comparison Properties of the Cuntz semigroup and applications to C*-algebras

Joan Bosa·Henning Petzka
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Abstract

We study comparison properties in the category Cu aiming to lift results to the C*-algebraic setting. We introduce a new comparison property and relate it to both the CFP and $\omega$-comparison. We show differences of all properties by providing examples, which suggest that the corona factorization property for C*-algebras might allow for both finite and infinite projections. In addition, we show that R{\o}rdam's simple, nuclear C*-algebra with a finite and an infinite projection does not have the CFP.

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Joan Bosa, Henning Petzka. 2016-03-23. Comparison Properties of the Cuntz semigroup and applications to C*-algebras. https://arxiv.org/abs/1603.07199

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