Bar simplicial modules and secondary cyclic (co)homology

Title

Bar simplicial modules and secondary cyclic (co)homology

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Description

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).

ISBN

1661-6960

Publication Date

2-1-2018

Publisher

European Mathematical Society

Keywords

Hochschild cohomology, Cyclic cohomology, simplicial k-modules.

Disciplines

Mathematics

Bar simplicial modules and secondary cyclic (co)homology

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