PDMATHAAB-代数II之间的迹序列分裂${}^*$ -同态
Tracially sequentially-split ${}^*$-homomorphisms between $C^*$-algebras II
摘要：
研究了一对$C^*$ -代数，通过关联从$A$到$B$的$*$ -同态，允许$A$的序列代数的近似左逆，使人联想到几个迹逼近性质.我们特别感兴趣的是艾略特分类程序中的正则性如何从$B$传递到$A$。其中，我们证明了严格比较性质和$\mathcal{Z}$ -稳定性在我们的设置中从$B$传递到$A$。
英文摘要：
We study a pair of $C^*$-algebras by associating a $*$-homomorphism from $A$ to $B$ allowing an approximate left-inverse to the sequence algebra of $A$ in a manner reminiscent of several tracial approximation properties. We are particularly interested how regularity properties in the Elliott classification program pass from $B$ to $A$. Among them, we show that the strict comparison property and $\mathcal{Z}$-stability pass from $B$ to $A$ in our setting.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
