I'm looking for the proof of the following theorem, and can't seem to find one online that's accessible (as in, it's behind a paywall or perhaps buried in some paper).
Theorem: Let $A,B$ be $C^{*}$ algebras. Then the maximal and minimal norms $||\cdot||_{\max}$ and $||\cdot||_{\min}$ respectively on the algebraic tensor $A \odot B$ are the largest and smallest $C^{*}$ norms on $A \odot B$.
This seems maybe somewhat obvious from their names, but I was wondering if the proof was available somewhere to look at. From looking online, it seems that it's located in "M. Takesaki: Theory of Operator Algebras I, Springer, 2001" but that's locked behind a paywall.
If anyone could provide a link, that'd be extremely helpful!