Periodic cyclic homology and derived de Rham cohomology

Benjamin Antieau*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

We use the Beilinson t-structure on filtered complexes and the Hochschild– Kostant–Rosenberg theorem to construct filtrations on the negative cyclic and periodic cyclic homologies of a scheme X with graded pieces given by the Hodge completion of the derived de Rham cohomology of X. Such filtrations have previously been constructed by Loday in characteristic zero and by Bhatt– Morrow–Scholze for p-complete negative cyclic and periodic cyclic homology in the quasisyntomic case.

Original languageEnglish (US)
Pages (from-to)505-519
Number of pages15
JournalAnnals of K-Theory
Volume4
Issue number3
DOIs
StatePublished - 2019

Keywords

  • Derived de Rham cohomology
  • Filtered complexes
  • Negative cyclic homology
  • Periodic cyclic homology
  • T-structures

ASJC Scopus subject areas

  • Analysis
  • Geometry and Topology

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