Definition 34.10.3 (Pure State).label Let $A$ be a unital $C^{*}$-algebra and $\phi \in S(A)$, then $\phi$ is a pure state if $\phi$ is an extreme point of $S(A)$. The set $P(A)$ is the collection of all pure states of $A$.
Definition 34.10.3 (Pure State).label Let $A$ be a unital $C^{*}$-algebra and $\phi \in S(A)$, then $\phi$ is a pure state if $\phi$ is an extreme point of $S(A)$. The set $P(A)$ is the collection of all pure states of $A$.
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