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The
motivic Segal–Becker theorem for algebraic K-theory
Roy Joshua and Pablo Pelaez |
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Vol. 7 (2022), No. 1, 191–221
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Abstract |
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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 -dimensional torus with the spectrum defining algebraic K-theory. |
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Keywords
motivic Becker–Gottlieb transfer, motivic Segal–Becker
theorem
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Mathematical Subject Classification
Primary: 14F42, 19E08
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Milestones
Received: 5 July 2021
Revised: 19 December 2021
Accepted: 7 January 2022
Published: 20 June 2022
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Authors |
| Roy Joshua | |
| Department of Mathematics Ohio State University Columbus, OH United States |
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| Pablo Pelaez | |
| Instituto de Matemáticas IMATE, UNAM Area de la Investigacion Cientifica Circuito Exterior, Ciudad Universitaria Ciudad de México Mexico |
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