A Transfer Map in K -Theory

Michael E. Keating · Journal of the London Mathematical Society · 1978

I am grateful to Keith Dennis for pointing out that the proof of Proposition 1 is fallacious. A correct argument is as follows. Let θ be the maximal order of the maximal unramified subfield ofD. Then both θ and D have residue class field d, and the following triangle of functors is commutative up to a natural equivalence: Therefore, there is a commuting triangle of homomorphisms The Proposition follows since the diagonal map is surjective by Gersten's result.

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