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Motivated by this question and its great answers, I become very curious to know what do we know about RFD (residually finite dimensional) groups and $C^*$-algebras, e.g. do we know how these properties behave under various constructions (amalgamated product etc.). Are there some survey articles on these topics?

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  • $\begingroup$ These seem like two separate questions ... maybe delete the second paragraph and ask it separately? $\endgroup$
    – Nik Weaver
    Dec 12, 2021 at 4:38
  • $\begingroup$ @NikWeaver Done. $\endgroup$ Dec 12, 2021 at 4:57
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    $\begingroup$ To my knowledge, there aren't any survey articles on the topic. However, here's a link to the slides of a talk of Kristin Courtney where she survey's a lot of the theory kristincourtneycom.files.wordpress.com/2019/05/ecoas_2018.pdf . I would also check the papers [K. Courtney and T. Shulman, Free products with amalgamation over central C*-subalgebras] and [T. Shulman, Central amalgamation of groups and the RFD property]. $\endgroup$
    – Jamie Gabe
    Dec 13, 2021 at 12:41

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