Resumen de Étale descent for real number fields

Paul Arne Østvær

• In this paper we verify the strong Quillen–Lichtenbaum conjecture for integers in real number fields at the prime two. That is, we prove that the Dwyer–Friedlander map from algebraic K-theory to étale topological K-theory is a weak equivalence on zero-connected covers for two integers in real number fields. The proof is given by comparing two explicit calculations.