Cyclic homology with coefficients
D. Kaledin
Abstract
We propose a category which can serve as the category of coefficients for the cyclic homology HC*(A) of an associative algebra A over a field k. The construction is categorical in nature, and essentially uses only the tensor category A-bimod of A-bimodules; objects of our category are A-bimodules with an additional structure. We also generalize the construction to a more general tensor k-linear tensor category C instead of A-bimod. We add some remarks about Getzler's version of the Gauss-Manin connection for the periodic cyclic homology HP*(A).
Create a lesson
Related papers
Gerstenhaber algebra structure on the Hochschild cohomology ring of the Xu--Snashall algebra
Qi Long, Ziyang Shi, Guodong Zhou
K-theory of Matroids and Monoid Schemes
Christian Haesemeyer, Charles A. Weibel
On motivic cohomology of commutative C*-algebras
Ko Aoki
The Nil K-groups of finite groups
Ted Chinburg, Matthew Morrow, Georgios Pappas et al.
The Oka principle for étale Chow groups
Ko Aoki
General linear and Steinberg groups over the Leavitt algebra L F2(1,2)
Huynh Viet Khanh