On a Hodge theoretic property of the Kuenneth map in periodic cyclic homology
arXiv:1207.5533
Abstract
We prove that the standard Künneth map in periodic cyclic homology of differential Z/2-graded algebras is compatible with a generalization of the Hodge filtration and explain how this result is related to various Thom-Sebastiani type theorems in singularity theory.
v2: an expanded version: added a section discussing how the main result is related to Thom-Sebastiani type theorems in singularity theory; the proof of the main result moved to appendix; notation changed