2021/12/06 by Moutzouris, Iason
#FOS: Mathematics #Operator Algebras (math.OA)
paper · doi:10.48550/arxiv.2112.03224
We study the validity of the Blackadar-Kirchberg conjecture for extensions of separable, nuclear, quasidiagonal C^*-algebras that satisfy the UCT. More specifically, we show that the conjecture for the extension has an affirmative answer if the ideal lies in a class of C^*-algebras that is closed under local approximations and contains all separable ASH algebras, as well as certain classes of simple, unital C^*-algebras and crossed products of unital C^*-algebras with the integers.