Explicit formulas for the Chern character in algebraic K -theory

Grégory Ginot[1]

  • [1] Université Paris 13, ENS Cachan, CMLA-LAGA, 61 avenue du Président Wilson, 94235 Cachan Cedex (France)

Annales de l'Institut Fourier (2004)

  • Volume: 54, Issue: 7, page 2327-2355
  • ISSN: 0373-0956

Abstract

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In this paper we give an explicit formula for the Chern character from algebraic K - theory to negative cyclic homology. We compute formulas for the Chern character of Steinberg, Dennis-Stein and Loday symbols. From the previous results we get a new proof of the compatibility of the Chern character with products.

How to cite

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Ginot, Grégory. "Formules explicites pour le caractère de Chern en $K$-théorie algébrique." Annales de l'Institut Fourier 54.7 (2004): 2327-2355. <http://eudml.org/doc/116174>.

@article{Ginot2004,
abstract = {Dans cet article on donne une formule explicite pour le caractère de Chern reliant la $K$- théorie algébrique et l’homologie cyclique négative. On calcule le caractère de Chern des symboles de Steinberg et de Loday et on donne une preuve élémentaire du fait que le caractère de Chern est multiplicatif.},
affiliation = {Université Paris 13, ENS Cachan, CMLA-LAGA, 61 avenue du Président Wilson, 94235 Cachan Cedex (France)},
author = {Ginot, Grégory},
journal = {Annales de l'Institut Fourier},
keywords = {Cyclic homology; algebraic $K$-theory; Chern character; Steinberg symbols; Loday Symbols},
language = {fre},
number = {7},
pages = {2327-2355},
publisher = {Association des Annales de l'Institut Fourier},
title = {Formules explicites pour le caractère de Chern en $K$-théorie algébrique},
url = {http://eudml.org/doc/116174},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Ginot, Grégory
TI - Formules explicites pour le caractère de Chern en $K$-théorie algébrique
JO - Annales de l'Institut Fourier
PY - 2004
PB - Association des Annales de l'Institut Fourier
VL - 54
IS - 7
SP - 2327
EP - 2355
AB - Dans cet article on donne une formule explicite pour le caractère de Chern reliant la $K$- théorie algébrique et l’homologie cyclique négative. On calcule le caractère de Chern des symboles de Steinberg et de Loday et on donne une preuve élémentaire du fait que le caractère de Chern est multiplicatif.
LA - fre
KW - Cyclic homology; algebraic $K$-theory; Chern character; Steinberg symbols; Loday Symbols
UR - http://eudml.org/doc/116174
ER -

References

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