Cartier isomorphism for unital associative algebras

  • D. B. Kaledin


Given an associative unital algebra A over a perfect field k of odd positive characteristic, we construct a noncommutative generalization of the Cartier isomorphism for A. The role of differential forms is played by Hochschild homology classes, and the de Rham differential is replaced with the Connes–Tsygan differential.


STEKLOV Institute Spectral Sequence Mixed Complex Cyclic Homology Hochschild Homology 
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© Pleiades Publishing, Ltd. 2015

Authors and Affiliations

  1. 1.Department of Algebraic GeometrySteklov Mathematical Institute of Russian Academy of SciencesMoscowRussia

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