Definition 34.2.1 (Generated Subalgebra).label Let $A$ be a unital $C^{*}$-algebra and $S \subset A$, then $A[S]$ is the smallest $C^{*}$-subalgebra of $A$ containing $1$ and $S$.
Definition 34.2.1 (Generated Subalgebra).label Let $A$ be a unital $C^{*}$-algebra and $S \subset A$, then $A[S]$ is the smallest $C^{*}$-subalgebra of $A$ containing $1$ and $S$.
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