Infinitesimal cohomology and the Chern character to negative cyclic homology

Details Infinitesimal cohomology and the Chern character to negative cyclic homology Infinitesimal cohomology and the Chern character to negative cyclic homology

2007-03-05

arxiv.org/abs/math/0703133v2

Math. Ann. 344 (2009) 891-922

Mathematics

K-Theory and Homology

Included reference for identification of relative Chern and rational homotopy theory characters; some minor editing for clarit

Scientific paper

There is a Chern character from K-theory to negative cyclic homology. We show
that it preserves the decomposition coming from Adams operations, at least in
characteristic 0. This is done by using infinitesimal cohomology to reduce to
the case of a nilpotent ideal (which had been established by Cathelineau some
time ago).

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