Invariance results for pairings with algebraic K-theory

Details Invariance results for pairings with algebraic K-theory Invariance results for pairings with algebraic K-theory

2010-01-30

arxiv.org/abs/1002.0053v1

Mathematics

K-Theory and Homology

Scientific paper

To each algebra over the complex numbers we associate a sequence of abelian groups in a contravariant functorial way. In degree (m-1) we have the m-summable Fredholm modules over the algebra modulo stable m-summable perturbations. These new finitely summable K-homology groups pair with cyclic homology and algebraic K-theory. In the case of cyclic homology the pairing is induced by the Chern-Connes character. The pairing between algebraic K-theory and finitely summable K-homology is induced by the Connes-Karoubi multiplicative character.

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