Cyclic modules with \(\infty\)-simplicial faces and the cyclic homology of \(A_\infty\)-algebras

DOI10.1134/S0001434617110219zbMath1381.16009OpenAlexW2777362089MaRDI QIDQ1702489

Peng Zhang

Publication date: 28 February 2018

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434617110219

zbMATH Keywords

cyclic homology\(A_\infty\)-algebradifferential module with \(\infty\)-simplicial faces\(D_\infty\)-differential modulecyclic simplicial module

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Simplicial sets and complexes in algebraic topology (55U10)

Related Items (5)

Homotopic invariance of dihedral homologies for 𝐴_{∞}-algebras with involution ⋮ Dihedral modules with ∞-simplicial faces and dihedral homology for involutive 𝐴_{∞}-algebras over rings ⋮ Cyclic homology of cyclic \(\infty\)-simplicial modules ⋮ Homotopy invariance of the cyclic homology of \(A_{\infty}\)-algebras under homotopy equivalences of \(A_{\infty}\)-algebras ⋮ Dihedral \(\infty\)-simplicial modules and dihedral homology of involutive homotopy unital \(A_{\infty}\)-algebras

Cites Work

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• Homotopy properties of \(\infty\)-simplicial coalgebras and homotopy unital supplemented \(A_\infty\)-algebras.
• Homotopy unital \(A_\infty\)-algebras
• Chain realization of differential modules with \(\infty\)-simplicial faces and the \(B\)-construction over \(A_\infty\)-algebras
• Cyclic homology and the Lie algebra homology of matrices
• Non-commutative differential geometry
• Differential Lie modules over curved colored coalgebras and \(\infty\)-simplicial modules
• Homotopy properties of differential Lie modules over curved coalgebras and Koszul duality
• Homotopy simplicial faces and the homology of realizations of simplicial topological spaces
• ON THE HOMOLOGY THEORY OF FIBRE SPACES
• Differential perturbations and $ D_\infty$-differential modules
• Homotopy Associativity of H-Spaces. I
• Algebraic Operads

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