We solve affirmatively the homotopy limit problem for (effective) K-theory over fields of finite virtual cohomological dimension. Our solution uses the motivic slice filtration and the first motivic Hopf map.
The motivic Hopf map solves the homotopy limit problem for k-theory / O. Rondigs, M. Spitzweck, P.A. Oestvaer. - In: DOCUMENTA MATHEMATICA. - ISSN 1431-0635. - 23:(2018), pp. 1405-1424.
The motivic Hopf map solves the homotopy limit problem for k-theory
P.A. Oestvaer
2018
Abstract
We solve affirmatively the homotopy limit problem for (effective) K-theory over fields of finite virtual cohomological dimension. Our solution uses the motivic slice filtration and the first motivic Hopf map.
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