I want to make a commutative diagram which looks like:

enter image description here

I tried the following code:


A\arrow[r,"\phi_n"]  \arrow[d,swap,"\text{id}"]&

A_n  \arrow[dl,swap,"\psi_n"] \arrow[dr,"\pi_n"]\\

\mathbb{B}(H) && \mathbb{B}(H_n) 


This gave me a portion of the diagram. How do I get the other half?


Think to a matrix and add the arrows:



\begin{tikzcd}[row sep=huge]
A \arrow[r,"\phi_n"] \arrow[d,swap,"\pi"] &
A_n \arrow[r,"\epsilon_{i,n}"] \arrow[dl,swap,"\psi_n"] \arrow[dr,"\pi_n"] &
M_{n_k}(\mathbb{C}) \arrow[d,"\eta_{i,n}"]
B(H) & & B(H_n) \arrow[ll,dashed]


enter image description here

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