Stably projectionless Fraïssé limits

Abstract

We realise the algebra $\mathcal{W}$, the algebra ${\mathcal{Z}}_0$ and the algebras ${\mathcal{Z}}_0\otimes A$, where $A$ is a unital UHF algebra as Fraïssé limits of suitable classes of structures. In doing so, we show that such algebras are generic objects without the use of any classification result.

arXiv comment34 pages, accepted version, to appear in Studia Mathematica