On the cyclic homology of certain universal differential graded algebras

Let p be an odd prime and R a p-torsion-free commutative 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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Publication Details

Journal
Homology Homotopy and Applications
Published
2025-01-01
DOI
https://doi.org/10.4310/hha.2025.v27.n2.a2
Primary Topic
Advanced Topics in Algebra
Type
article
Field-Weighted Citation Impact
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article

On the cyclic homology of certain universal differential graded algebras

Christopher Davis, Irakli Patchkoria, Julius Frank
Homology Homotopy and Applications
Advanced Topics in Algebra
article

On the cyclic homology of certain universal differential graded algebras

Christopher Davis, Irakli Patchkoria, Julius Frank
article en

Abstract

Let p be an odd prime and R a p-torsion-free commutative 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.

Homology Homotopy and ApplicationsVol. 27(2)
University of Aberdeen (GB), Bielefeld University (DE), University of California, Irvine (US), UC Irvine Health (US)
Openalex Percentile: Top 72%
Advanced Topics in Algebra
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