Lemma 13.28.3 (0FCQ)—The Stacks project

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Lemma 13.28.3. Let $F : \mathcal{D} \to \mathcal{D}'$ be an exact functor of triangulated categories. Then $F$ induces a group homomorphism $K_0(\mathcal{D}) \to K_0(\mathcal{D}')$ .

Proof. Omitted. $\square$

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