Abstract
In the paper, we consider the question whether a unital full amalgamated free product of RFD (residually finite dimensional) C∗-algebras is RFD again. One example shows that the answer to the general case is no. We give a necessary and sufficient condition such that a unital full amalgamated free product of RFD C∗-algebras with amalgamation over a finite dimensional C∗-algebra is RFD. Applying this result, we conclude that a unital full free product of two same RFD C∗-algebras with amalgamation over a finite-dimensional C∗-algebra is always RFD.
Citation
Qihui Li. Junhao Shen. "A note on unital full amalgamated free products of RFD C∗-algebras." Illinois J. Math. 56 (2) 647 - 659, Summer 2012. https://doi.org/10.1215/ijm/1385129969
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