Geodesic
The Motivic Hopf Map Solves the Homotopy Limit Problem for $K$-Theory
Documenta mathematica, Tome 23 (2018), pp. 1405-1424
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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.
DOI : 10.4171/dm/650
Classification : 14F42, 55P42
Mots-clés : slice filtration, motivic Hopf map, homotopy limit problem for (effective) K-theory 
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     author = {Oliver R\"ondigs and Markus Spitzweck and Paul Arne {\O}stv{\ae}r},
     title = {The {Motivic} {Hopf} {Map} {Solves} the {Homotopy} {Limit} {Problem} for $K${-Theory}},
     journal = {Documenta mathematica},
     pages = {1405--1424},
     year = {2018},
     volume = {23},
     doi = {10.4171/dm/650},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/650/}
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Oliver Röndigs; Markus Spitzweck; Paul Arne Østvær. The Motivic Hopf Map Solves the Homotopy Limit Problem for $K$-Theory. Documenta mathematica, Tome 23 (2018), pp. 1405-1424. doi: 10.4171/dm/650

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