A+ CATEGORY SCIENTIFIC UNIT

Stably projectionless Fraïssé limits

Bhishan Jacelon, Alessandro Vignati Studia Mathematica 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.

Authors

  • Bhishan JacelonInstitute of Mathematics of the
    Czech Academy of Sciences
    Žitná 25
    115 67 Praha 1, Czech Republic
    e-mail
  • Alessandro VignatiUniversité Paris Cité
    – Institut de Mathématiques de Jussieu
    – Paris Rive Gauche (IMJ-PRG)
    Bâtiment Sophie Germain
    8 Place Aurélie Nemours
    Paris 75013, France
    http://www.automorph.net/avignati
    e-mail

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