We give a new proof of the recent Künneth theorem for periodic topological cyclic homology 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 of such categories.
- Künneth theorems
- Periodic topological cyclic homology
- The Tate construction
- Topological Hochschild homology
ASJC Scopus subject areas
- Physics and Astronomy(all)