Tracing cyclic homology pairings under twisting of graded algebras
Letters in Mathematical Physics
We give a description of cyclic cohomology and its pairing with K-groups for 2-cocycle deformation of algebras graded over discrete groups. The proof relies on a realization of monodromy for the Gauss–Manin connection on periodic cyclic cohomology in terms of the cup product action of group cohomology.
Chakraborty, Sayan and Yamashita, Makoto, "Tracing cyclic homology pairings under twisting of graded algebras" (2019). Journal Articles. 790.