Bar simplicial modules and secondary cyclic (co)homology
Journal of Noncommutative Geometry
Cyclic cohomology, Hochschild cohomology, Simplicial k-modules.
© 2018 European Mathematical Society Publishing House. All rights reserved. In this paper we study the simplicial structure of the complex C.A;B; "/IM/, 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 4.11 and 5.11).
Laubacher, Jacob; Staic, Mihai D.; and Stancu, Alin, "Bar simplicial modules and secondary cyclic (co)homology" (2018). Faculty Bibliography. 2906.