Weibel proved that p-inverted K-theory is A 1 -invariant on Fp-schemes and K-theory with Z p-coefficients is A 1 -invariant on Z[ 1 p ]-schemes.We extend this result to all finitary localizing invariants of small stable โ-categories.Along the way we study the Frobenius and Verschiebung endofunctors defined by Tabuada and provide a categorical version of Stienstra's projection formula.
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Vladimir Sosnilo (2024) studied this question.
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