The $p$-completed cyclotomic trace in degree $2$
K-Theory and Homology
2021-05-17 v2 Number Theory
Abstract
We prove that for a quasi-regular semiperfectoid -algebra (in the sense of Bhatt-Morrow-Scholze), the cyclotomic trace map from the -completed -theory spectrum of to the topological cyclic homology of identifies on with a -deformation of the logarithm.
Cite
@article{arxiv.1907.10530,
title = {The $p$-completed cyclotomic trace in degree $2$},
author = {Johannes Anschütz and Arthur-César Le Bras},
journal= {arXiv preprint arXiv:1907.10530},
year = {2021}
}