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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