A Modified Similarity Degree for C*-algebras
  We define variants of Pisier's similarity degree for unital C*-algebras and use direct integral theory to obtain new results. We prove that if every II$_{1}$ factor representation of a separable C*-algebra $\mathcal{A}$ has property $\Gamma$, then the similarity degree of $\mathcal{A}$ is at most 11. 
Don Hadwin, Junhao Shen
math.OA