摘要

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 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.

  • 出版日期2017-2