Bar Simplicial Modules and Secondary Cyclic (Co)homology
Abstract
In this paper we study the simplicial structure of the complex C((A,B,); M), associated to the secondary Hochschild cohomology. The main ingredient is the simplicial object B(A,B,), which plays a role equivalent to that of the bar resolution associated to an algebra. We also introduce the secondary cyclic (co)homology and establish some of its properties (Theorems 3.9 and 4.11).
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