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arXiv · 2304.02544

Endomorphisms of Equivariant Algebraic $K$-theory

K. Arun Kumar·Girja S Tripathi
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Abstract

We prove that for the action of a finite constant group scheme, equivariant algebraic $K$-theory is represented by a colimit of Grassmannians in the equivariant motivic homotopy category. Using this result we show that the set of endomorphisms of the equivariant motivic space defined by $K_0(G,-)$ coincides with the set of endomorphisms of infinite Grassmannians in the equivariant motivic homotopy category by explicitly computing the equivariant $K$-theory of Grassmannians.

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BibTeXRIS

K. Arun Kumar, Girja S Tripathi. 2023-04-05. Endomorphisms of Equivariant Algebraic $K$-theory. https://arxiv.org/abs/2304.02544

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