Corollary 34.6.2.label Let $A$ be a unital $C^{*}$-algebra, then the following are equivalent:
- (1)
$A$ is commutative.
- (2)
$\Gamma_{A}$ is a *-isomorphism.
- (3)
$\Gamma_{A}$ is injective.
Corollary 34.6.2.label Let $A$ be a unital $C^{*}$-algebra, then the following are equivalent:
$A$ is commutative.
$\Gamma_{A}$ is a *-isomorphism.
$\Gamma_{A}$ is injective.
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