Cup products in Hopf cyclic cohomology with coefficients in contramodules
Bahram Rangipour (UNB)
TL;DR
This paper enhances the cup product structure in Hopf cyclic cohomology by employing stable anti Yetter-Drinfeld contramodules, addressing previous issues of functoriality and coefficient sensitivity.
Contribution
It introduces a new approach using contramodules to improve the functoriality and coefficient sensitivity of cup products in Hopf cyclic cohomology.
Findings
Cup products are now functorial with respect to coefficients.
The new construction reveals the sensitivity of cup products to coefficients.
The method fixes prior limitations in Hopf cyclic cohomology theory.
Abstract
We use stable anti Yetter-Drinfeld contramodules to improve the cup products in Hopf cyclic cohomology. The improvement fixes the lack of functoriality of the cup products previously defined and show that the cup products are sensitive to the coefficients.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Synthesis and Properties of Aromatic Compounds