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Strongly self-absorbing C∗-algebras and Fraïssé limits
Bulletin of the London Mathematical Society ( IF 0.8 ) Pub Date : 2021-02-24 , DOI: 10.1112/blms.12474 Saeed Ghasemi 1
Bulletin of the London Mathematical Society ( IF 0.8 ) Pub Date : 2021-02-24 , DOI: 10.1112/blms.12474 Saeed Ghasemi 1
Affiliation
We show that the Fraïssé limit of a category of unital separable -algebras which is sufficiently closed under tensor products of its objects and morphisms is strongly self-absorbing, given that it has approximately inner half-flip. We use this connection between Fraïssé limits and strongly self-absorbing -algebras to give a rather elementary proof for the well-known fact that the Jiang–Su algebra is strongly self-absorbing.
中文翻译:
强自吸收 C∗-代数和 Fraïssé 极限
我们证明了单位可分范畴的 Fraïssé 极限 -代数在其对象和态射的张量积下足够封闭,它具有很强的自吸收性,因为它具有大约内部半翻转。我们使用 Fraïssé 极限和强自吸收之间的这种联系-algebras 对江苏代数具有很强的自吸性这一众所周知的事实给出了一个相当基本的证明。
更新日期:2021-02-24
中文翻译:
强自吸收 C∗-代数和 Fraïssé 极限
我们证明了单位可分范畴的 Fraïssé 极限 -代数在其对象和态射的张量积下足够封闭,它具有很强的自吸收性,因为它具有大约内部半翻转。我们使用 Fraïssé 极限和强自吸收之间的这种联系-algebras 对江苏代数具有很强的自吸性这一众所周知的事实给出了一个相当基本的证明。