Galois theory and integral models of Lambda-rings

Details Galois theory and integral models of Lambda-rings Galois theory and integral models of Lambda-rings

2008-01-15

arxiv.org/abs/0801.2352v1

Mathematics

K-Theory and Homology

Probably the final version

Scientific paper

We show that any Lambda-ring, in the sense of Riemann-Roch theory, which is finite etale over the rational numbers and has an integral model as a Lambda-ring is contained in a product of cyclotomic fields. In fact, we show that the category of them is described in a Galois-theoretic way in terms of the monoid of pro-finite integers under multiplication and the cyclotomic character. We also study the maximality of these integral models and give a more precise, integral version of the result above. These results reveal an interesting relation between Lambda-rings and class field theory.

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