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arXiv · 1710.05658

On the Blumberg-Mandell K\"unneth theorem for TP

Benjamin Antieau·Akhil Mathew·Thomas Nikolaus
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Abstract

We give a new proof of the recent K\"unneth 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.

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Benjamin Antieau, Akhil Mathew, Thomas Nikolaus. 2017-10-16. On the Blumberg-Mandell K\"unneth theorem for TP. https://arxiv.org/abs/1710.05658

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