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arXiv · 1604.06410

Cdh descent in equivariant homotopy K-theory

Marc Hoyois
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Abstract

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-infinity-ring) is stable under arbitrary base change, and we deduce that homotopy K-theory of G-schemes satisfies cdh descent.

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Marc Hoyois. 2016-04-21. Cdh descent in equivariant homotopy K-theory. https://doi.org/10.25537/dm.2020v25.457-482

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