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arXiv · 1806.03927

Algebraic G-theory in motivic homotopy categories

Fangzhou Jin
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Abstract

We prove that algebraic G-theory in is representable in unstable and stable motivic homotopy categories; in the stable category we identify it with the Borel-Moore theory associated to algebraic K-theory, and show that such an identification is compatible with the functorialities defined by Quillen and Thomason.

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Fangzhou Jin. 2018-06-11. Algebraic G-theory in motivic homotopy categories. https://arxiv.org/abs/1806.03927

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