The Motivic Segal-Becker Theorem

Abstract

The present paper is a continuation of earlier work by Gunnar Carlsson and the first author on a motivic variant of the classical Becker-Gottlieb transfer and an additivity theorem for such a transfer by the present authors. Here, we establish a motivic variant of the classical Segal-Becker theorem relating the classifying space of a 1-dimensional torus with the spectrum defining (algebraic) K-theory.

arXiv commentTo appear in the Annals of K-Theory

References in corpus (6)

• Hermitian K-theory, derived equivalences and Karoubi's Fundamental Theorem
• Perfection in motivic homotopy theory
• Additivity and Double Coset formulae for the Motivic and Étale Becker-Gottlieb transfer
• Atiyah-Segal Derived Completions for Equivariant Algebraic G-Theory and K-Theory
• Motivic and Étale Spanier-Whitehead duality and the Becker-Gottlieb transfer
• On the ${\mathbb{A}}^1$-Euler characteristic of the variety of maximal tori in a reductive group

Cited by in corpus (2)

• Additivity and Double Coset formulae for the Motivic and Étale Becker-Gottlieb transfer
• Motivic and Étale Spanier-Whitehead duality and the Becker-Gottlieb transfer