Geodesic
Cdh Descent in Equivariant Homotopy $K$-Theory
Documenta mathematica, Tome 25 (2020), pp. 457-482.

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

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_\infty $-ring) is stable under arbitrary base change, and we deduce that the homotopy $K$-theory of $G$-schemes satisfies cdh descent.
Classification : 14F42, 14D23, 19D25, 14A20
Keywords: algebraic \(K\)-theory, algebraic stacks 
@article{DOCMA_2020__25__a53,
     author = {Hoyois, Marc},
     title = {Cdh {Descent} in {Equivariant} {Homotopy} {\(K\)-Theory}},
     journal = {Documenta mathematica},
     pages = {457--482},
     publisher = {mathdoc},
     volume = {25},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2020__25__a53/}
}
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Hoyois, Marc. Cdh Descent in Equivariant Homotopy \(K\)-Theory. Documenta mathematica, Tome 25 (2020), pp. 457-482. http://geodesic.mathdoc.fr/item/DOCMA_2020__25__a53/