Abstract
For an exact k-linear category A with a duality functor, the dihedral homology of A is defined. We show that when 1 2 ϵ k , the image of the generalized Chern map from the U-theory of A to cyclic homology, lies in a direct summand which is the dihedral homology of A . When A is the category of finitely generated projective A-modules over a k-algebra A, we recover the early results of Cortinas (1993) and Lodder (1992). The approach we adopt here is more categorical, inspired by McCarthy's work (1992).
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.