Extensions of quasidiagonal $C^*$-algebras and controlling the $K_0$-map of embeddings

Iason Moutzouris

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arXiv · 2112.03224

Extensions of quasidiagonal $C^*$-algebras and controlling the $K_0$-map of embeddings

Iason Moutzouris

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Abstract

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.

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BibTeX RIS

Iason Moutzouris. 2021-12-06. Extensions of quasidiagonal $C^*$-algebras and controlling the $K_0$-map of embeddings. https://arxiv.org/abs/2112.03224

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