Geodesic
Cdh Descent in Equivariant Homotopy $K$-Theory
Documenta mathematica, Tome 25 (2020), pp. 457-482
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We construct geometric models for classifying spaces of linear algebraic groups in G-equivariant motivic homotopy theory, where G is a tame group scheme. As a consequence, we show that the equivariant motivic spectrum representing the homotopy K-theory of G-schemes (which we construct as an E∞​-ring) is stable under arbitrary base change, and we deduce that the homotopy K-theory of G-schemes satisfies cdh descent.
DOI : 10.4171/dm/754
Classification : 14A20, 14D23, 14F42, 19D25
Mots-clés : algebraic stacks, algebraic K-theory 
@article{10_4171_dm_754,
     author = {Marc Hoyois},
     title = {Cdh {Descent} in {Equivariant} {Homotopy} $K${-Theory}},
     journal = {Documenta mathematica},
     pages = {457--482},
     year = {2020},
     volume = {25},
     doi = {10.4171/dm/754},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/754/}
}
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Marc Hoyois. Cdh Descent in Equivariant Homotopy $K$-Theory. Documenta mathematica, Tome 25 (2020), pp. 457-482. doi: 10.4171/dm/754

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