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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2015, Volume 290, Pages 43–60
DOI: https://doi.org/10.1134/S0371968515030048 (Mi tm3647) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Cartier isomorphism for unital associative algebras

D. Kaledin

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
Full-text PDF (257 kB) Citations (6)
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DOI: https://doi.org/10.1134/S0371968515030048
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.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work is supported by the Russian Science Foundation under grant 14-50-00005.
Received: March 15, 2015
English version:
Proceedings of the Steklov Institute of Mathematics, 2015, Volume 290, Issue 1, Pages 35–51
DOI: https://doi.org/10.1134/S0081543815060048
Bibliographic databases:
Document Type: Article
UDC: 512.666
Language: Russian
Citation: D. Kaledin, “Cartier isomorphism for unital associative algebras”, Modern problems of mathematics, mechanics, and mathematical physics, Collected papers, Trudy Mat. Inst. Steklova, 290, MAIK Nauka/Interperiodica, Moscow, 2015, 43–60; Proc. Steklov Inst. Math., 290:1 (2015), 35–51
Citation in format AMSBIB
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\paper Cartier isomorphism for unital associative algebras
\inbook Modern problems of mathematics, mechanics, and mathematical physics
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2015
\vol 290
\pages 43--60
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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  • https://www.mathnet.ru/eng/tm/v290/p43
    • This publication is cited in the following 6 articles:
    1. Boris Tsygan, Contemporary Mathematics, 802, Higher Structures in Topology, Geometry, and Physics, 2024, 1  crossref
    2. D. Kaledin, “Hochschild-witt complex”, Adv. Math., 351 (2019), 33–95  crossref  mathscinet  isi
    3. D. B. Kaledin, “Witt vectors, commutative and non-commutative”, Russian Math. Surveys, 73:1 (2018), 1–30  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    4. D. Kaledin, “Co-periodic cyclic homology”, Adv. Math., 334 (2018), 81–150  crossref  mathscinet  zmath  isi  scopus
    5. D. Kaledin, “Spectral sequences for cyclic homology”, Algebra, Geometry, and Physics in the 21St Century: Kontsevich Festschrift, Progress in Mathematics, 324, eds. D. Auroux, L. Katzarkov, T. Pantev, Y. Soibelman, Y. Tschinkel, Birkhauser Verlag Ag, 2017, 99–129  crossref  mathscinet  zmath  isi
    6. Yu. I. Manin, “Painlevé VI equations in p-adic time”, P-Adic Num Ultrametr Anal Appl, 8:3 (2016), 217  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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