Bar simplicial modules and secondary cyclic (co)homology

Authors

Jacob Laubacher, Saint Norbert CollegeFollow
Mihai D. Staic, Columbus State University
Alin Stancu, Columbus State University

Files

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

Recommended Citation

Laubacher, Jacob; Staic, Mihai D.; and Stancu, Alin, "Bar simplicial modules and secondary cyclic (co)homology" (2018). Faculty Creative and Scholarly Works. 14.
https://digitalcommons.snc.edu/faculty_staff_works/14