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On the Kunneth formula spectral sequence in equivariant K- theory

Published online by Cambridge University Press:  24 October 2008

V. P. Snaith
Affiliation:
Emmanuel College, Cambridge

Extract

Let G be a compact, connected Lie group such that π2(G) is torsion free. Throughout this paper a vector bundle (representation) will mean a complex vector bundle (representation) and KG will denote the equivariant K-theory functor associabed with the group, G.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1972

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References

REFERENCES

(1)Atiyah, M. F.Bott periodicity and the index of elliptic operators. Quart. J. Math. Oxford Ser. 2, 19 (1968), 113140.CrossRefGoogle Scholar
(2)Atiyah, M. F. and Segal, G.Equivariant K-theory. Notes by Epstein, D. B. A. & Schwarzenberger, R. L. E. (Warwick University, 1965).Google Scholar
(3)Cartan, H. and Eilenberg, S.Homological algebra (Princeton, 1956).Google Scholar
(4)Hodgkin, L.An equivariant Kunneth formula in K-theory (Warwick University preprint, 1968).Google Scholar
(5)Pittie, H. V.Homogeneous vector bundles on homogeneous spaces. (Mimeographed preprint; Inst. for Advanced Study, Princeton, 1970.)Google Scholar
(6)Seymour, R. M. Thesis (Warwick University, 1969).Google Scholar
(7)Snaith, V. P. On the K-theory of homogeneous spaces and Conjugate Bundles of Lie groups (to appear: Proc. London Math. Soc.).Google Scholar