On the Blumberg-Mandell K\"unneth theorem for TP
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🧮 math.KT
math.AT
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theoremcategoriescyclichomologytopologicalunnethblumbergblumberg-mandell
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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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