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arXiv · 1412.5837

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

Abhishek Banerjee
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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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Abhishek Banerjee. 2014-12-18. Dennis trace map for certain $K$-groups of categories with cofibrations. https://arxiv.org/abs/1412.5837

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