Title

Bar simplicial modules and secondary cyclic (co)homology

Document Type

Article

Publication Date

1-1-2018

Publication Title

Journal of Noncommutative Geometry

Volume

12

First Page

865

Last Page

887

Keywords

Cyclic cohomology, Hochschild cohomology, Simplicial k-modules.

Abstract

© 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).

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