Abstract
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 zero.
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G. Cortiñas’ research was partially supported by grants ANPCyT PICT 2006-00836, UBACyT-X051, and MEC MTM 2007-64704. C. Haesemeyer’s research was supported by NSF grant DMS-0813100.
C. A. Weibel’s research was supported by NSA grant MSPF-04G-184, and by the Oswald Veblen Fund.
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Cortiñas, G., Haesemeyer, C. & Weibel, C.A. Infinitesimal cohomology and the Chern character to negative cyclic homology. Math. Ann. 344, 891–922 (2009). https://doi.org/10.1007/s00208-009-0333-9
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DOI: https://doi.org/10.1007/s00208-009-0333-9