# Non-commutative Hodge-to-de Rham degeneration via the method of Deligne-Illusie

@article{Kaledin2006NoncommutativeHR,
title={Non-commutative Hodge-to-de Rham degeneration via the method of Deligne-Illusie},
author={D. Kaledin},
journal={arXiv: K-Theory and Homology},
year={2006}
}
• D. Kaledin
• Published 2006
• Mathematics
• arXiv: K-Theory and Homology
We use a version of the method of Deligne-Illusie to prove that the Hodge-to-de Rham, a.k.a. Hochschild-to-cyclic spectral sequence degenerates for a large class of associative, not necessariyl commutative DG algebras. This proves, under some assumption, a conjecture by Kontsevich and Soibelman made in math.RA/0606241. The approach is similar to my earlier paper math.AG/0511665, but the proof is more straightforward, and the underlying algebraic topology notions are explicitly described. The… Expand
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