Some results on tracial stability and graph products

We establish the tracial stability of a certain class graph products C*-algebras. This result involves development pincushion finite graphs. then apply this in two ways. The first application yields selective version Lin's Theorem for almost commuting operators. second addresses some approximation properties right-angled Artin groups. In particular, we show that full C*-algebra any group is quasidiagonal and thus has non-trivial amenable trace, to when these traces are fact locally dimensional.