Minimal tensor product of $B(H)$ and $C(G)$ Let $H$ be a finite dimensional vector space, and $G$ be a compact group. Let $B(H)$ be the bounded operators on $H$, let $C(G)$ be the complex valued continuous functions on $G$, and let $C(G;B(H))$ be the $B(H)$ valued continuous functions on $G$. Let $B(H)\otimes C(G)$ be the minimal tensor product of $B(H)$ and $C(G)$.
Question: Show that $B(H)\otimes C(G)=C(G;B(H))$?
I got stuck in this problem while reading the note 'Compact Quantum Groups and Their
Representation Categories' by Neshveyev and Tuset. Thanks in advance.

Another perspective:
We have the following chain of well-known isomorphisms:
$$B(H)\otimes C(G)\cong M_n(\mathbb{C})\otimes C(G)\cong M_n(C(G))\cong C(G, M_n(\mathbb{C}))\cong C(G, B(H)).$$
If you calculate this explicit composition, you easily see that it agrees with the map in the answer of Martin Argerami.
Also, the 'minimal' tensor product doesn't matter here. $C(G)$ is nuclear, so there is a unique $C^*$-norm on every algebraic tensor product you form.
