Geodesic
Two-primary algebraic 𝐾-theory of rings of integers in number fields
Rognes, J.1 ; Weibel, C.2 ; M. Kolster, appendix by3
1 Department of Mathematics, University of Oslo, Oslo, Norway
2 Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08903-2101
3 Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada L8S 4K1
Journal of the American Mathematical Society, Tome 13 (2000) no. 1, pp. 1-54

Voir la notice de l'article provenant de la source American Mathematical Society

We relate the algebraic $K$-theory of the ring of integers in a number field $F$ to its étale cohomology. We also relate it to the zeta-function of $F$ when $F$ is totally real and Abelian. This establishes the $2$-primary part of the “Lichtenbaum conjectures.” To do this we compute the $2$-primary $K$-groups of $F$ and of its ring of integers, using recent results of Voevodsky and the Bloch–Lichtenbaum spectral sequence, modified for finite coefficients in an appendix. A second appendix, by M. Kolster, explains the connection to the zeta-function and Iwasawa theory.
DOI : 10.1090/S0894-0347-99-00317-3

Rognes, J. 1 ; Weibel, C. 2 ; M. Kolster, appendix by 3

1 Department of Mathematics, University of Oslo, Oslo, Norway
2 Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08903-2101
3 Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada L8S 4K1 
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Rognes, J.; Weibel, C.; M. Kolster, appendix by. Two-primary algebraic 𝐾-theory of rings of integers in number fields. Journal of the American Mathematical Society, Tome 13 (2000) no. 1, pp. 1-54. doi: 10.1090/S0894-0347-99-00317-3

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