A universal characterization of the Chern character maps

Details A universal characterization of the Chern character maps A universal characterization of the Chern character maps

2010-02-19

arxiv.org/abs/1002.3726v1

Mathematics

K-Theory and Homology

7 pages

Scientific paper

The Chern character maps are one of the most important working tools in
mathematics. Although they admit numerous different constructions, they are not
yet fully understood at the conceptual level. In this note we eliminate this
gap by characterizing the Chern character maps, from the Grothendieck group to
the (negative) cyclic homology groups, in terms of simple universal properties.

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