Rigidity for equivariant pseudo pretheories

We prove versions of the Suslin and Gabber rigidity theorems in the setting of equivariant pseudo pretheories of smooth schemes over a field with an action of a finite group. Examples include equivariant algebraic K-theory, presheaves with equivariant transfers, equivariant Suslin homology, and Bred...

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Bibliographic Details
Published in:Journal of algebra 2018-12, Vol.516, p.373-395
Main Authors: Heller, Jeremiah, Ravi, Charanya, Østvær, Paul Arne
Format: Article
Language:English
Subjects:
Equivariant geometry
K-theory
Motivic cohomology
Rigidity
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Summary:We prove versions of the Suslin and Gabber rigidity theorems in the setting of equivariant pseudo pretheories of smooth schemes over a field with an action of a finite group. Examples include equivariant algebraic K-theory, presheaves with equivariant transfers, equivariant Suslin homology, and Bredon motivic cohomology.
ISSN:0021-8693
1090-266X
DOI:10.1016/j.jalgebra.2018.09.027