Cup Products in Hopf-Cyclic Cohomology
Masoud Khalkhali, Bahram Rangipour
Abstract
We construct cup products of two different kinds for Hopf-cyclic cohomology. When the Hopf algebra reduces to the ground field our first cup product reduces to Connes' cup product in ordinary cyclic cohomology. The second cup product generalizes Connes-Moscovici's characteristic map for actions of Hopf algebras on algebras.
Create a lesson
Related papers
Galois-modular obstructions to the categorification of near-group fusion rings
Víctor Blasco
The Askey-Wilson Function is the Laplace Transform of a Positive Measure
Aaron Agulnick
Associated Varieties of Finite-Group Orbifolds
Andrew Riesen
Haagerup symmetries of the E8 theory and conformal nets at central charge eight
Cédric Arhancet
Centralizers of maps as automorphism groups of Yang--Baxter solutions
Gigel Militaru
Quaternionic and Octonionic Frameworks for Quantum Computation: Mathematical Structures, Models, and Fundamental Limitations
Johan Heriberto Rúa Muñoz, Jorge Eduardo Mahecha Gómez, Santiago Pineda Montoya