The Witt vectors for Green functors
Abstract
We define twisted Hochschild homology for Green functors. This construction is the algebraic analogue of the relative topological Hochschild homology THHCn(-), and it describes the E2 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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