Sur la complétion de la K -théorie équivariante

Abdelouahab Arouche

Annales de la Faculté des sciences de Toulouse : Mathématiques (1997)

  • Volume: 6, Issue: 3, page 377-387
  • ISSN: 0240-2963

How to cite

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Arouche, Abdelouahab. "Sur la complétion de la $K$-théorie équivariante." Annales de la Faculté des sciences de Toulouse : Mathématiques 6.3 (1997): 377-387. <http://eudml.org/doc/73426>.

@article{Arouche1997,
author = {Arouche, Abdelouahab},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
language = {fre},
number = {3},
pages = {377-387},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Sur la complétion de la $K$-théorie équivariante},
url = {http://eudml.org/doc/73426},
volume = {6},
year = {1997},
}

TY - JOUR
AU - Arouche, Abdelouahab
TI - Sur la complétion de la $K$-théorie équivariante
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1997
PB - UNIVERSITE PAUL SABATIER
VL - 6
IS - 3
SP - 377
EP - 387
LA - fre
UR - http://eudml.org/doc/73426
ER -

References

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  1. [A] Arouche ( A.) .— K-théorie équivariante et théorie de complétion pour l'espace classifiant associé au lissage des actions continues d'un groupe de Lie compact, Thèse, Université de Nantes (1994). MR1320833
  2. [AM] Atiyah ( M.F.) et Macdonald ( I.G.) .— Introduction to commutative algebra, Addison-Wesley, Reading, Massachusetts, 1969. Zbl0175.03601MR242802
  3. [AS] Atiyah ( M.F.) et Segal ( G.B.) .— Equivariant K-theory and completion, J. Diff. Geom.3 (1969), pp. 1-18. Zbl0215.24403MR259946
  4. [B] Bojanowska ( A.) .— The spectrum of equivariant K-theory, Math. Zeitschrift183 (1983), pp. 1-19. Zbl0491.57017MR701356
  5. [Bo] Bourbaki ( N.) .— Algèbre commutative, Chap. 5-6, Paris, Hermann, 1964. Zbl0205.34302MR194450
  6. [D] Tom Dieck ( T.) .— Transformation groups, Walter de Gruyter, Berlin - New-York (1987). Zbl0611.57002MR889050
  7. [G] Grothendieck ( A.) .— Eléments de géométrie algébrique, Publ. Math. IHES4 (1960). 
  8. [H] Hodgkin ( L.) .— The equivariant Künneth theorem in K-theory, Lecture Notes in Maths, Springer-Verlag, 496 (1976), pp. 1-100. Zbl0323.55009MR478156
  9. [J] Jackowski ( S.) . — Families of subgroups and completion, J. Pure Appl. Algebra37 (1985), pp. 167-179. Zbl0573.55008MR796406
  10. [R] Rotman ( J.J.) .— An introduction to homological algebra, Academic Press, New-York, 1979. Zbl0441.18018MR538169
  11. [S1] Segal ( G.B.) .— Equivariant K-theory, Publ. Math. IHES34 (1968). Zbl0199.26202MR234452
  12. [S2] Segal ( G.B.) . — The representation ring for a compact Lie group, Publ. Math. IHES34 (1968). Zbl0209.06203MR248277

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