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

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

2009-03-17

arxiv.org/abs/0903.3032v2

Mathematics

K-Theory and Homology

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Scientific paper

We verify a special case of a conjecture of G. Carlsson that describes the $\l$-adic $K$-theory of a field $F$ of characteristic prime to $\l$ 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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