Equivalence of Norms on Operator Space Tensor Products of C∗-algebras
نویسندگان
چکیده
The Haagerup norm ‖ · ‖h on the tensor product A ⊗ B of two C∗-algebras A and B is shown to be Banach space equivalent to either the Banach space projective norm ‖ · ‖γ or the operator space projective norm ‖ · ‖∧ if and only if either A or B is finite dimensional or A and B are infinite dimensional and subhomogeneous. The Banach space projective norm and the operator space projective norm are equivalent on A⊗ B if and only if A or B is subhomogeneous.
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