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Start Over Topic chern classes Topic homology theory Topic mathematical analysis Publisher american mathematical society

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1. A universal characterization of the Chern character maps.

Subjects
*CHERN classes, *MATHEMATICAL mappings, *GROTHENDIECK groups, *HOMOLOGY theory, *ABSTRACT algebra, *MATHEMATICAL analysis
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. [ABSTRACT FROM AUTHOR]

Published
2010