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

Alexander Petrov, Vadim Vologodsky

Published 2019-12-06Version 1

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 $W(k)$.