Can someone tell me what is Arveson index of a completely positive map. What I want is given a map \begin{eqnarray} \psi:\mathcal{B}(\mathbb{C}^m)&\longrightarrow&\mathcal{B}(\mathbb{C}^n)\\ x&\mapsto &\sum_{j=1}^kv_j^*xv_j, \end{eqnarray} what will be the Arveson index of $\psi$?
2026-04-05 18:38:29.1775414309
Arveson index of a completely positive map on matrix algebra
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