Geodesic
On Unital Full Amalgamated Free Products of Quasidiagonal $C^*$-Algebras
Funkcionalʹnyj analiz i ego priloženiâ, Tome 50 (2016) no. 1, pp. 47-58.

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In the paper, we consider the question as to whether a unital full amalgamated free product of quasidiagonal $C^*$-algebras is itself quasidiagonal. We give a sufficient condition for a unital full amalgamated free product of quasidiagonal $C^*$-algebras with amalgamation over a finite-dimensional $C^*$-algebra to be quasidiagonal. By applying this result, we conclude that the unital full free product of two AF algebras with amalgamation over a finite-dimensional $C^*$-algebra is AF if there exists a faithful tracial state on each of the two AF algebras such that the restrictions of these states to the common subalgebra coincide.
Mots-clés : quasidiagonal $C^*$-algebra
Keywords: unital full amalgamated free product of $C^*$-algebras. 
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Qihui Li; Don Hadwin; Jiankui Li; Xiujuan Ma; Junhao Shen. On Unital Full Amalgamated Free Products of Quasidiagonal $C^*$-Algebras. Funkcionalʹnyj analiz i ego priloženiâ, Tome 50 (2016) no. 1, pp. 47-58. http://geodesic.mathdoc.fr/item/FAA_2016_50_1_a3/

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