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arXiv · 2203.15518

On Atiyah-Segal completion for T-equivariant Hermitian K-theory

Herman Rohrbach
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Abstract

We show how derived completion can be used to prove an analogue of Atiyah-Segal completion for the $T$-equivariant Hermitian K-theory of a scheme $X$ with a trivial $T$-action, containing $\tfrac{1}{2}$ and satisfying the resolution property, where $T$ is a split torus of rank $t$. This result is an important first step towards a more general Atiyah-Segal completion theorem for Hermitian K-theory.

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Herman Rohrbach. 2022-03-29. On Atiyah-Segal completion for T-equivariant Hermitian K-theory. https://arxiv.org/abs/2203.15518

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