Étale descent for real number fields

• Autores: Paul Arne Østvær
• Localización: Topology, ISSN 0040-9383, Vol. 42, Nº 1, 2003, págs. 197-225
• Idioma: inglés
• DOI: 10.1016/s0040-9383(02)00003-4
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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.