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arXiv · 1910.13590

Strongly self-absorbing $C^*$-algebras and Fraïssé limits

Saeed Ghasemi
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Abstract

We show that the Fraïssé limit of a category of unital separable $C^*$-algebras which is sufficiently closed under tensor products of its objects and morphisms is strongly self-absorbing, given that it has approximate inner half-flip. We use this connection between Fraïssé limits and strongly self-absorbing $C^*$-algebras to give a self-contained and rather elementary proof for the well known fact that the Jiang-Su algebra is strongly self-absorbing.

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Saeed Ghasemi. 2021-02-13. Strongly self-absorbing $C^*$-algebras and Fraïssé limits. https://doi.org/10.1112/blms.12474

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