On the periodic topological cyclic homology of DG categories in characteristic p

2019/12/06 by Alexander A. Petrov, Vadim Vologodsky, Petrov, Alexander +1
Mathematics · #14F30 #19D55 #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT)

paper · pdf · doi:10.48550/arxiv.1912.03246

openalex publication_date 2019/12/06 · openalex created_date 2023/10/12 · openalex updated_date 2026/07/28

Abstract

We prove that the p-adically completed periodic topological cyclic homology of a DG category over a perfect field k of characteristic p>2 is isomorphic to the (p-adically completed) periodic cyclic homology of a lifting of the DG category over the Witt vectors W(k).

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