If two unital C*-algebras satisfy Kadison's similarity property and the pair-length of their maximal tensor product is finite, then the maximal tensor product satisfies the property with similarity length bounded by L times the maximum of the two individual lengths.
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Similarities for the maximal tensor product of certain C*-algebras
If two unital C*-algebras satisfy Kadison's similarity property and the pair-length of their maximal tensor product is finite, then the maximal tensor product satisfies the property with similarity length bounded by L times the maximum of the two individual lengths.