We prove that any separable exact C*-algebra is isomorphic to a subalgebra of the Cuntz algebra O 2 . We further prove that if A is a simple separable unital nuclear C*-algebra, then O 2 ⊗ A ∼ = O 2 , and if, in addition, A is purely infinite, then O∞ ⊗ A ∼ = A.
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