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Descent in algebraic $K$-theory and a conjecture of Ausoni–Rognes

Clausen, Dustin ; Mathew, Akhil ; Naumann, Niko ; Noel, Justin



Abstract

Let A -> B be a G-Galois extension of rings, or more generally of E-infinity-ring spectra in the sense of Rognes. A basic question in algebraic K-theory asks how close the map K(A)-> K(B)(hG) is to being an equivalence, i.e., how close algebraic K-theory is to satisfying Galois descent. An elementary argument with the transfer shows that this equivalence is true rationally in most cases of ...

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