The Witt vectors for Green functors
Algebraic Topology
2020-01-01 v2 Group Theory
K-Theory and Homology
Abstract
We define twisted Hochschild homology for Green functors. This construction is the algebraic analogue of the relative topological Hochschild homology , and it describes the term of the K\"unneth spectral sequence for relative . Applied to ordinary rings, we obtain new algebraic invariants. Extending Hesselholt's construction of the Witt vectors of noncommutative rings, we interpret our construction as providing Witt vectors for Green functors.
Cite
@article{arxiv.1803.05393,
title = {The Witt vectors for Green functors},
author = {Andrew J. Blumberg and Teena Gerhardt and Michael A. Hill and Tyler Lawson},
journal= {arXiv preprint arXiv:1803.05393},
year = {2020}
}
Comments
Minor revisions. Published version