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arXiv · 0903.3032

The $l$-adic $K$-theory of a $p$-local field

Grace K. Lyo
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Abstract

We verify a special case of a conjecture of G. Carlsson that describes the $ł$-adic $K$-theory of a field $F$ of characteristic prime to $ł$ in terms of the representation theory of the absolute Galois group $G_F$. This conjecture is known to hold in two cases; in this article we examine the second case, in which the field in question is the field of Laurent series over a finite field $\FF_{p}((x))$.

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Grace K. Lyo. 2009-04-03. The $l$-adic $K$-theory of a $p$-local field. https://arxiv.org/abs/0903.3032

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