Robinson强迫与拟对角性问题
Robinson forcing and the quasidiagonality problem
摘要：
我们介绍了两个比较突出的开放问题的分类$\mathrm{C}^*$ -代数，即拟对角性问题和UCT问题的削弱。我们证明了两个较弱问题的合取的正解蕴含着原拟对角性问题的正解，并给出了MF问题的局部有限性准则，即是否每个稳定有限的$\mathrm{C}^*$ -代数都是MF.
英文摘要：
We introduce weakenings of two of the more prominent open problems in the classification of $\mathrm{C}^*$-algebras, namely the quasidiagonality problem and the UCT problem. We show that the a positive solution of the conjunction of the two weaker problems implies a positive solution of the original quasidiagonality problem as well as allows us to give a local, finitary criteria for the MF problem, which asks whether every stably finite $\mathrm{C}^*$-algebra is MF.
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。
