2016/08/02 by Goldbring, Isaac, Sinclair, Thomas · 1 citation
#FOS: Mathematics #Logic (math.LO) #Operator Algebras (math.OA)
paper · doi:10.48550/arxiv.1608.00682
We introduce weakenings of two of the more prominent open problems in the classification of 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 C^*-algebra is MF.