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arXiv · 2109.01470

Analytic cyclic homology in positive characteristic

Ralf Meyer·Devarshi Mukherjee
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Abstract

Let $V$ be a complete discrete valuation ring with residue field $\mathbb{F}$. We define a cyclic homology theory for algebras over $\mathbb{F}$, by lifting them to free algebras over $V$, which we enlarge to tube algebras and complete suitably. We show that this theory may be computed using any pro-dagger algebra lifting of an $\mathbb{F}$-algebra. We show that our theory is polynomially homotopy invariant, excisive, and matricially stable.

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Ralf Meyer, Devarshi Mukherjee. 2021-09-03. Analytic cyclic homology in positive characteristic. https://doi.org/10.2140/akt.2023.8.379

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