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 Künneth 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.
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