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Dennis trace map for certain $K$-groups of categories with cofibrations

Published 18 Dec 2014 in math.KT | (1412.5837v1)

Abstract: Let $\mathcal C$ be a small category with cofibrations. In this paper, we define the $K$-theory and Hochschild homology groups of $\mathcal C$ of order $Y$, where $Y$ is an ordered finite simplicial set with basepoint. Further, we construct the Dennis trace map between these groups.

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