Stably projectionless Fraïssé limits
Volume 267 / 2022
Studia Mathematica 267 (2022), 161-199
MSC: Primary 03C30; Secondary 46L05.
DOI: 10.4064/sm210906-11-3
Published online: 4 July 2022
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 separable 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.