For $A$ a C* algebra the uniform topology in $Aut(A)$ is defined in terms of neighborhoods for every $a_1$ in $A$
$N(α_1,δ)=[α: ‖α_1∘α^{-1} ‖<δ]$
where
$‖α‖=[sup{‖α(f)‖/‖f‖ ;f∈A,‖f‖≠0}].$
(Note: the square brackets should be curly)
Is this correct? Any bibliographical reference?