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arXiv · 1608.00682

Robinson forcing and the quasidiagonality problem

Isaac Goldbring·Thomas Sinclair
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Abstract

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.

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Isaac Goldbring, Thomas Sinclair. 2016-08-02. Robinson forcing and the quasidiagonality problem. https://arxiv.org/abs/1608.00682

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