Email this article Cyclic modules with ∞-simplicial faces and the cyclic homology of A∞-algebras
- Authors: Lapin S.V.1
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Affiliations:
- Mathematical Notes,” Steklov Mathematical Institute of Russian Academy of Sciences
- Issue: Vol 102, No 5-6 (2017)
- Pages: 806-823
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/150358
- DOI: https://doi.org/10.1134/S0001434617110219
- ID: 150358
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Abstract
A chain bicomplex for A∞-algebras, which generalizes the Tsygan chain bicomplex in the theory of cyclic homology of associative algebras, is constructed by using the techniques of differential modules with ∞-simplicial faces and D∞-differential modules. For homotopy unital A∞-algebras, an exact sequence generalizing the Connes–Tsygan exact sequence for unital associative algebras is obtained.
About the authors
S. V. Lapin
Mathematical Notes,” Steklov Mathematical Institute of Russian Academy of Sciences
Author for correspondence.
Email: slapin@mail.ru
Russian Federation, Moscow
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