English

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

K-Theory and Homology 2014-12-19 v1

Abstract

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

Keywords

Cite

@article{arxiv.1412.5837,
  title  = {Dennis trace map for certain $K$-groups of categories with cofibrations},
  author = {Abhishek Banerjee},
  journal= {arXiv preprint arXiv:1412.5837},
  year   = {2014}
}

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Submitted

R2 v1 2026-06-22T07:36:47.927Z