Algebraic analogue of Atiyah's theorem

Alisa Knizel; Alexander Neshitov

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arXiv · 1111.4685

Algebraic analogue of Atiyah's theorem

Alisa Knizel·Alexander Neshitov

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Abstract

In topology there is a theorem of Atiyah, concerning K-theory of classifying space of connected compact Lie group. We consider an algebraic analogue of this theorem. We prove that for a split reductive algebraic group G over a field there is an isomorphism between K-theory of etale classifying space of group G and a completion of the G-equivariant K-theory of the base field.

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Alisa Knizel, Alexander Neshitov. 2011-11-20. Algebraic analogue of Atiyah's theorem. https://arxiv.org/abs/1111.4685

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