Cyclic Modules with ∞-Simplicial Faces and the Cyclic Homology of ,A_∞-Algebras

摘要

AbstractA chain bicomplex forA∞-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 andD∞-differential modules. For homotopy unitalA∞-algebras, an exact sequence generalizing the Connes–Tsygan exact sequence for unital associative algebras is obtained.