In a unital separable C*-algebra, a set G is hyperrigid exactly when every sequence of representations that converges weakly on G converges strongly on the whole algebra.
Arveson, The noncommutative Choquet boundary II: hyp errigidity, Israel J
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Hyperrigidity III
In a unital separable C*-algebra, a set G is hyperrigid exactly when every sequence of representations that converges weakly on G converges strongly on the whole algebra.