We show that the natural map from 2-adic algebraic K-theory to 2-adic étale K-theory induces an isomorphism in positive degrees for rings of 2-integers in totally imaginary number fields. In this sense, 2-adic algebraic K-theory of totally imaginary number fields satisfies étale descent in positive degrees.
All Science Journal Classification (ASJC) codes
- Algebraic K-theory
- Bloch-Lichtenbaum spectral sequence
- Dwyer-friedlander spectral sequence
- Étale K-theory
- Étale descent