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arXiv · 1803.05393

The Witt vectors for Green functors

Andrew J. Blumberg·Teena Gerhardt·Michael A. Hill·Tyler Lawson
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Abstract

We define twisted Hochschild homology for Green functors. This construction is the algebraic analogue of the relative topological Hochschild homology $THH_{C_n}(-)$, and it describes the $E_2$ term of the K\"unneth spectral sequence for relative $THH$. 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.

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Andrew J. Blumberg, Teena Gerhardt, Michael A. Hill, Tyler Lawson. 2018-03-14. The Witt vectors for Green functors. https://arxiv.org/abs/1803.05393

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