Abstract
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.
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Published in Russian in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2015, Vol. 290, pp. 43–60.
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Kaledin, D.B. Cartier isomorphism for unital associative algebras. Proc. Steklov Inst. Math. 290, 35–51 (2015). https://doi.org/10.1134/S0081543815060048
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DOI: https://doi.org/10.1134/S0081543815060048