A note on full free product C*-algebras, lifting and quasidiagonality

Abstract

We study lifting properties for full product C*-algebras with amalgamation over $\mathbb{C}1$ and give new proofs for some results of Kirchberg and Pisier. We extend the result of Choi on the quasidiagonality of $C^{\ast }({\mathbb{F}}_n)$, proving that the free product with amalgamation over $\mathbb{C}1$ of a family of unital quasidiagonal C*-algebras is quasidiagonal.

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