On the cyclic homology of certain universal differential graded algebras

Christopher  Davis; Julius Frank; Irakli Patchkoria

doi:10.48550/arXiv.2308.12369

On the cyclic homology of certain universal differential graded algebras

Christopher Davis
, Julius Frank
, Irakli Patchkoria

Research output: Working paper › Preprint

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.

Original language	English
Publisher	ArXiv
Number of pages	20
DOIs	https://doi.org/10.48550/arXiv.2308.12369
Publication status	Published - 23 Aug 2023

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AB - 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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M3 - Preprint

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On the cyclic homology of certain universal differential graded algebras

Abstract

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