On the Blumberg-Mandell Künneth theorem for TP

Abstract

We give a new proof of the recent Künneth theorem for periodic topological cyclic homology (TP) of smooth and proper dg categories over perfect fields of characteristic p>0 due to Blumberg and Mandell. Our result is slightly stronger and implies a finiteness theorem for topological cyclic homology (TC) of such categories.

20 pages, revised version. To appear in Selecta Mathematica

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