The K -groups of λ -rings. Part II. Invertibility of the logarithmic map

F. J.-B. J. Clauwens

Compositio Mathematica (1994)

  • Volume: 92, Issue: 2, page 205-225
  • ISSN: 0010-437X

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Clauwens, F. J.-B. J.. "The $K$-groups of $\lambda $-rings. Part II. Invertibility of the logarithmic map." Compositio Mathematica 92.2 (1994): 205-225. <http://eudml.org/doc/90304>.

@article{Clauwens1994,
author = {Clauwens, F. J.-B. J.},
journal = {Compositio Mathematica},
keywords = {linearized algebraic -group; Chern class map; -nilpotency; -ring; -ideal},
language = {eng},
number = {2},
pages = {205-225},
publisher = {Kluwer Academic Publishers},
title = {The $K$-groups of $\lambda $-rings. Part II. Invertibility of the logarithmic map},
url = {http://eudml.org/doc/90304},
volume = {92},
year = {1994},
}

TY - JOUR
AU - Clauwens, F. J.-B. J.
TI - The $K$-groups of $\lambda $-rings. Part II. Invertibility of the logarithmic map
JO - Compositio Mathematica
PY - 1994
PB - Kluwer Academic Publishers
VL - 92
IS - 2
SP - 205
EP - 225
LA - eng
KW - linearized algebraic -group; Chern class map; -nilpotency; -ring; -ideal
UR - http://eudml.org/doc/90304
ER -

References

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  1. 1 Atiyah, M.F. and Segal, G.B.: Equivariant K-theory and completion. J. Differential Geometry3 (1969) 1-18. Zbl0215.24403MR259946
  2. 2 Clauwens, F.J.-B.J.: The K-groups of λ-rings. I. Construction of the logarithmic invariant. Compositio Math.61 (1987) 295-328. Zbl0626.18008
  3. 3 Clauwens, F.J.-B.J.: K-theory, λ-rings, and formal groups. Compositio Math.65 (1988) 223-240. Zbl0646.18004
  4. 4 Goodwillie, T.G.: Relative algebraic K-theory and cyclic homology. Annals of Math.124 (1986), 347-402. Zbl0627.18004MR855300
  5. 5 Grothendieck, A.: Technique de descente et théorèmes d'existence en Géométrie Algébrique. II. Le théorème d'existence en théorie formelle des modules. Séminaire Bourbaki195 (1959/60). Zbl0234.14007
  6. 6 Hood, C.E. and Jones, J.D.S.: Some algebraic properties of cyclic homology groups. K-Theory1 (1987) 361-384. Zbl0636.18005MR920950
  7. 7 Keune, F.: The relativization of K2. J. of Alg. 54 (1978) 159-177. Zbl0403.18009MR511460
  8. 8 Knutson, D.: λ-Rings and the Representation Theory of the Symmetric Group. Springer-Verlag, New York, 1973. Zbl0272.20008
  9. 9 Maazen, H. and Stienstra, J.: A presentation for K2 of split radical pairs. J. of Pure and Appl. Alg.10 (1977) 271-294. Zbl0393.18013MR472795
  10. 10 Weibel, C.A.: Nil K-theory maps top cyclic homology. Transactions of the American Mathematical Society303 (1987) 541-558. Zbl0627.18005MR902784

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