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arXiv · 1605.03273

Bar Simplicial Modules and Secondary Cyclic (Co)homology

Jacob Laubacher·Mihai D. Staic·Alin Stancu
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Abstract

In this paper we study the simplicial structure of the complex $C^{\bullet}((A,B,\varepsilon); M)$, associated to the secondary Hochschild cohomology. The main ingredient is the simplicial object $\mathcal{B}(A,B,\varepsilon)$, 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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Jacob Laubacher, Mihai D. Staic, Alin Stancu. 2016-05-11. Bar Simplicial Modules and Secondary Cyclic (Co)homology. https://arxiv.org/abs/1605.03273

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