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).
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