Rigidity for equivariant pseudo pretheories

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.

arXiv comment19 pages; to appear in Journal of Algebra

References in corpus (3)

• Étale motives
• Equivariant cycles and cancellation for motivic cohomology
• Rigidity theorems for K- and H-cohomology and other functors

Cited by in corpus (1)

• Rigidity in equivariant algebraic $K$-theory