105 citations · 417 across the 30 of their papers we have counts for
5 papers · 1 filter
Descent and vanishing in chromatic algebraic -theory via group actions
Dustin Clausen, Akhil Mathew, Niko Naumann +1
We prove some -theoretic descent results for finite group actions on stable -categories, including the -group case of the Galois descent conjecture of Ausoni-Rognes.…
On -local
Akhil Mathew
We discuss some general properties of and its -localization. We prove that after -localization, of -algebras is a truncating in…
On the Beilinson fiber square
Benjamin Antieau, Akhil Mathew, Matthew Morrow +1
Using topological cyclic homology, we give a refinement of Beilinson's -adic Goodwillie isomorphism between relative continuous -theory and cyclic homology. As a result, we g…
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--…
Purity in chromatically localized algebraic -theory
Markus Land, Akhil Mathew, Lennart Meier +1
We prove a purity property in telescopically localized algebraic -theory of ring spectra: For , the -localization of only depends on the $T(0)\oplus \dots…