A universal characterization of the Chern character maps

Tabuada, Gonçalo

doi:10.1090/S0002-9939-2010-10569-5

A universal characterization of the Chern character maps
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by Gonçalo Tabuada PDF

Proc. Amer. Math. Soc. 139 (2011), 1263-1271 Request permission

Abstract:

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 paper 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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