论文标题

非致敬的trac上近似$ {\ rm c^*} $ - 代数

Non-unital tracially approximated ${\rm C^*}$-algebras

论文作者

Fan, Qingzhai, Long, Chengyu, Zhang, Shan

论文摘要

在本文中,我们介绍了一类非阴性曲折近似$ {\ rm c^*} $ - 代数。考虑$ {\ rm c^*} $ - 代数 - $ \ Mathcal {z} $ - 吸收(从Amint,Golestani,Golestani,Jamali,Phillips,Phillips的简单特殊性$ \ Mathcal {Z} $ - 吸收或castillejos,li,szabvo的Trociald $ \ Mathcal {Z} $ \ Mathcal {Z} $ \ MATHCAL {Z} $ - 稳定性)。然后,$ a $是特特拉克上的$ \ mathcal {z} $ - 吸收任何简单的$ {\ rm c^*} $ - 代数$ a $ a $在相应类的非潜水tracial近似$ {\ rm c^*} $ - 代数 - 代数。

In this paper, we introduce a class of non-unital tracial approximation ${\rm C^*}$-algebras. Consider the class of ${\rm C^*}$-algebras which are tracially $\mathcal{Z}$-absorbing (in the sense of Amint, Golestani, Jamali, Phillips's simple tracially $\mathcal{Z}$-absorbing or Castillejos, Li, Szabvo's tracial $\mathcal{Z}$-stability). Then $A$ is tracially $\mathcal{Z}$-absorbing for any simple ${\rm C^*}$-algebra $A$ in the corresponding class of non-unital tracial approximation ${\rm C^*}$-algebras.

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