Quasidiagonality of extensions of quasidiagonal -algebras
Quasidiagonality of extensions of quasidiagonal -algebras
Let , , and be -algebras in a short exact sequence
Assume that and are separable, nuclear, and quasidiagonal. Extension quasidiagonality conjecture. Then is quasidiagonal if and only if is stably finite. The question is a restricted form of the Blackadar–Kirchberg conjecture, motivated by the fact that extensions of quasidiagonal algebras need not be quasidiagonal without a stable finiteness condition. Its status is not resolved by the supplied source information.
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Primary source
Iason Moutzouris, “Extensions of quasidiagonal C^*-algebras and controlling the K_0-map of embeddings”, arXiv:2112.03224 (2022).
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