3 papers
math.KT2020
Remarks on -local -theory
Bhargav Bhatt, Dustin Clausen, Akhil Mathew
We prove two basic structural properties of the algebraic -theory of rings after -localization at an implicit prime . Our first result (also recently obtained by Land--…
math.KT2019
Hyperdescent and étale K-theory
Dustin Clausen, Akhil Mathew
We study the étale sheafification of algebraic K-theory, called étale K-theory. Our main results show that étale K-theory is very close to a noncommutative invariant called Selmer…
math.KT2018
K-theory and topological cyclic homology of henselian pairs
Dustin Clausen, Akhil Mathew, Matthew Morrow
Given a henselian pair of commutative rings, we show that the relative -theory and relative topological cyclic homology with finite coefficients are identified via the…