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arxiv: 1304.3784 · v3 · pith:JJVD5YEWnew · submitted 2013-04-13 · 🧮 math.AG · math.AC· math.AT· math.CT· math.KT

Homotopy invariance of higher K-theory for abelian categories

classification 🧮 math.AG math.ACmath.ATmath.CTmath.KT
keywords noetherianabeliancategoryhomotopyinvariancek-theorymaintheorem
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The main theorem in this paper is that the base change functor from a noetherian abelian category to its noetherian polynomial category induces an isomorphism on K-theory. The main theorem implies the well-known fact that A^1-homotopy invariance of K'-theory for noetherian schemes.

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