On the localisation sequence in $K$-theory
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- by Victor Snaith PDF
- Proc. Amer. Math. Soc. 79 (1980), 359-364 Request permission
Abstract:
A description of the boundary map in Quillen’s localisation sequence is given in terms of classifying spaces of categories. Using this description the low dimensional part of the localisation sequence for a Dedekind domain is shown to coincide with the algebraically defined Bass-Tate sequence.References
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- Jean-Louis Loday, $K$-théorie algébrique et représentations de groupes, Ann. Sci. École Norm. Sup. (4) 9 (1976), no. 3, 309–377 (French). MR 447373, DOI 10.24033/asens.1312
- John Milnor, Introduction to algebraic $K$-theory, Annals of Mathematics Studies, No. 72, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1971. MR 0349811
- Daniel Quillen, Higher algebraic $K$-theory. I, Algebraic $K$-theory, I: Higher $K$-theories (Proc. Conf., Battelle Memorial Inst., Seattle, Wash., 1972) Lecture Notes in Math., Vol. 341, Springer, Berlin, 1973, pp. 85–147. MR 0338129
Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 79 (1980), 359-364
- MSC: Primary 18F25; Secondary 12B22
- DOI: https://doi.org/10.1090/S0002-9939-1980-0567972-3
- MathSciNet review: 567972