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.
Rigidity for equivariant pseudo pretheories / J. Heller, C. Ravi, P.A. Oestvaer. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - 516(2018), pp. 373-395. [10.1016/j.jalgebra.2018.09.027]
Rigidity for equivariant pseudo pretheories
P.A. Oestvaer
2018
Abstract
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.
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