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arXiv · 2308.12369

On the cyclic homology of certain universal differential graded algebras

Christopher Davis·Julius Frank·Irakli Patchkoria
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Abstract

Let $p$ be an odd prime and $R$ a $p$-torsion-free commutative $\mathbb{Z}_{(p)}$-algebra. We compute the periodic cyclic homology over $R$ of the universal differential graded algebra $R//p$ which is obtained from $R$ by universally killing $p$. We furthermore compute the cyclic and negative cyclic homologies of $R//p$ over $R$ in infinitely many degrees.

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Christopher Davis, Julius Frank, Irakli Patchkoria. 2023-08-23. On the cyclic homology of certain universal differential graded algebras. https://arxiv.org/abs/2308.12369

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