Geodesic
The Motivic Hopf Map Solves the Homotopy Limit Problem for $K$-Theory
Documenta mathematica, Tome 23 (2018), pp. 1405-1424.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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.
Classification : 14F42, 55P42
Keywords: motivic Hopf map, slice filtration, homotopy limit problem for (effective) $K$-theory 
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     author = {R\"ondigs, Oliver and Spitzweck, Markus and {\O}stv{\ae}r, Paul Arne},
     title = {The {Motivic} {Hopf} {Map} {Solves} the {Homotopy} {Limit} {Problem} for $K${-Theory}},
     journal = {Documenta mathematica},
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Röndigs, Oliver; Spitzweck, Markus; Østvær, Paul Arne. The Motivic Hopf Map Solves the Homotopy Limit Problem for $K$-Theory. Documenta mathematica, Tome 23 (2018), pp. 1405-1424. http://geodesic.mathdoc.fr/item/DOCMA_2018__23__a22/