Étale K -theory. II. Connections with algebraic K -theory

Eric M. Friedlander

Annales scientifiques de l'École Normale Supérieure (1982)

  • Volume: 15, Issue: 2, page 231-256
  • ISSN: 0012-9593

How to cite

top

Friedlander, Eric M.. "Étale $K$-theory. II. Connections with algebraic $K$-theory." Annales scientifiques de l'École Normale Supérieure 15.2 (1982): 231-256. <http://eudml.org/doc/82096>.

@article{Friedlander1982,
author = {Friedlander, Eric M.},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {algebraic K-theory; -adic etale K-theory; galois actions},
language = {eng},
number = {2},
pages = {231-256},
publisher = {Elsevier},
title = {Étale $K$-theory. II. Connections with algebraic $K$-theory},
url = {http://eudml.org/doc/82096},
volume = {15},
year = {1982},
}

TY - JOUR
AU - Friedlander, Eric M.
TI - Étale $K$-theory. II. Connections with algebraic $K$-theory
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1982
PB - Elsevier
VL - 15
IS - 2
SP - 231
EP - 256
LA - eng
KW - algebraic K-theory; -adic etale K-theory; galois actions
UR - http://eudml.org/doc/82096
ER -

References

top
  1. [1] J. F. ADAMS, On Chern Characters and the Structure of the Unitary Group (Proc. Camb. Phil. Soc., Vol. 57, 1961, pp. 198-199). Zbl0103.16001MR22 #12525
  2. [2] S. ARAKI and H. TODA, Multiplicative Structures in Mod q Cohomology Theories, I and II, (Osaka J. Math., Vol. 2, 1965, pp. 71-115 and Vol. 3, 1966, pp. 81-120). Zbl0129.15201
  3. [3] M. ARTIN and B. MAZUR, Etale Homotopy (Lecture Notes in Math., 100, 1969, Springer-Verlag). Zbl0182.26001MR39 #6883
  4. [4] A. K. BOUSFIELD and D. M. KAN, Homotopy Limits, Completions, and Localizations (Lecture Notes in Math., Vol. 304, 1973, Springer-Verlag). Zbl0259.55004MR51 #1825
  5. [5] W. BROWDER, Algebraic K-Theory with Coefficients Z/p (Lecture Notes in Math., Vol. 651, 1978, pp. 40-84, Springer-Verlag). Zbl0386.18011MR80b:18011
  6. [6] K. S. BROWN and S. M. GERSTEN, Algebraic K-Theory as Generalized Cohomology (Lecture Notes in Math., Vol. 341, 1973, pp. 266-292, Springer-Verlag). Zbl0291.18017MR50 #442
  7. [7] P. DELIGNE, La Conjecture de Weil I (Publ. Math. I.H.E.S., Vol. 43, 1974, pp. 273-307). Zbl0287.14001MR49 #5013
  8. [8] P. DELIGNE, Cohomologie Etale (SGA 41/2) (Lecture Notes in Math., Vol. 569, 1977, Springer-Verlag). Zbl0345.00010MR57 #3132
  9. [9] E. FRIEDLANDER, Unstable K-Theories of the Algebraic Closure of a Finite Field (Comment. Math. Helvetici, Vol. 50, 1975, pp. 145-154). Zbl0307.18005MR53 #14488
  10. [10] E. FRIEDLANDER, The Infinite Loop Adams Conjecture via Classification Theorems for F-Spaces (Proc. Camb. Phil. Soc., Vol. 87, 1980, pp. 109-150). Zbl0426.55010MR81b:55023
  11. [11] E. FRIEDLANDER, Etale K-theory I: Connections with Etale Cohomology and Algebraic Vector Bundles (Inventiones Math., Vol. 60, 1980, pp. 105-134). Zbl0519.14010MR82e:14029
  12. [12] E. FRIEDLANDER, Etale Homotopy of Simplicial Schemes. To appear in Princeton University Press. Zbl0538.55001
  13. [13] J.-P. JOUANOLOU, Une suite exact de Mayer-Vietoris en K-theorie algebrique (Lecture Notes in Math., Vol. 341, 1973, pp. 293-316, Springer-Verlag). Zbl0291.14006MR53 #13231
  14. [14] D. MACDUFF and G. SEGAL, Homology, Fibrations, and the "Group Completion" Theorem (Inventiones Math., Vol. 31, 1976, pp. 279-284). Zbl0306.55020MR53 #6547
  15. [15] J. P. MAY, The Spectra Associated to Permutative Categories (Topology, Vol. 17, 1978, pp. 225-228). Zbl0417.55011MR80e:55015
  16. [16] D. QUILLEN, Higher Algebraic K-Theory I (Lecture notes in Math., Vol. 341, 1973, pp. 85-147, Springer-Verlag). Zbl0292.18004MR49 #2895
  17. [17] G. SEGAL, Categories and Cohomology Theories (Topology, Vol. 13, 1974, pp. 293-312). Zbl0284.55016MR50 #5782
  18. [18] C. SOULÉ, K-théorie des anneaux d'entiers de corps de nombres et cohomologie étale (Inventiones Math., Vol. 55, 1979, pp. 251-295). Zbl0437.12008MR81i:12016
  19. [19] R. THOMASON, ALGEBRAIC K-THEORY AND ETALE COHOMOLOGY (Preprint). 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.