Skip to main content
SpringerLink
Log in
Book cover

Algebraic Topology Aarhus 1982 pp 128–155Cite as

Unitary K-homology and the lichtenbaum-quillen conjecture on the algebraic K-theory of schemes

  • Algebraic K- And L-Theory
  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1051))

This is a preview of subscription content, log in via an institution.

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   69.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J.F. Adams, Stable homotopy and generalised homology, Chicago Lecture Notes in Mathematics (1974).

    Google Scholar 

  2. J.F. Adams, On the groups J(X): I: Topology 2(1963) 181–195; II: Topology 3(1965) 137–171; III: Topology 3(1965) 193–222; IV: Topology 5(1966) 21–71.

    Google Scholar 

  3. M.F. Atiyah, Characters and cohomology of finite groups, Pub. Math. I.H.E.S. (Paris) 9(1961), 23–64.

    Article  MathSciNet  MATH  Google Scholar 

  4. M.F. Atiyah, K-theory (Benjamin, 1968).

    Google Scholar 

  5. W. Browder, Algebraic K-theory with coefficients Z/p, Springer-Verlag Lecture Notes in Mathematics, #654(1978) 40–84.

    Article  MathSciNet  Google Scholar 

  6. S. Bloch, Lectures on algebraic cycles, Duke University Mathematics Series IV.

    Google Scholar 

  7. W.G. Dwyer and E.M. Friedlander, Étale K-theory and arithmetic, Bull. A.M. Soc. (6)3(1982) 453–455.

    Article  MathSciNet  MATH  Google Scholar 

  8. W.G. Dwyer, E.M. Friedlander, V.P. Snaith and R.W. Thomason, Algebraic K-theory eventually surjects onto topological K-theory, Inventiones Math. 66(1982) 481–491.

    Article  MathSciNet  MATH  Google Scholar 

  9. B.H. Dayton and C.A. Weibel, I: K-theory of hyperplanes, Trans. A.M. Soc. 257(1980) 119–141.

    MathSciNet  MATH  Google Scholar 

  10. B.H. Dayton and C.A. Weibel, II: A spectral sequence for affine glued schemes, Springer-Verlag Lecture Notes in Mathematics #854, 24–92.

    Google Scholar 

  11. E.M. Friedlander, Étale K-theory, I: Inventiones Math. 60(1980), 105–134.

    Article  MATH  Google Scholar 

  12. E.M. Friedlander, Étale K-theory, II: to appear in Ann. Sci. Ec. Norm. Sup. (4).

    Google Scholar 

  13. D. Grayson (after D.G. Quillen), Higher algebraic K-theory II, Springer-Verlag Lecture Notes in Mathematics #551, 217–240.

    Google Scholar 

  14. B. Gray, On the sphere of origin of infinite families in the homotopy groups of spheres, Topology 8(1969) 219–232.

    Article  MathSciNet  MATH  Google Scholar 

  15. B. Harris and G.B. Segal, Ki groups of rings of algebraic integers, Annals of Maths. (1)101(1975) 20–33.

    Article  MathSciNet  MATH  Google Scholar 

  16. L. Hodgkin, K-theory of some well-known spaces I-QS0, Topology (4)11(1972) 373–376.

    Article  MathSciNet  Google Scholar 

  17. J-P. Jouanolou, Une suite de Mayer-Vietoris en K-théorie algébrique, Springer-Verlag Lecture Notes in Mathematics #341, 293–316.

    Google Scholar 

  18. D.S. Kahn and S.B. Priddy, On the transfer in the homology of symmetric groups, Math. Proc. Camb. Phil. Soc. (83)1(1978) 91–102.

    Article  MathSciNet  MATH  Google Scholar 

  19. J-L. Loday, K-théorie algébrique et représentations de groupes, Ann. Sci. Ec. Norm. Sup. 4e serie t.9(1976) 309–377.

    MathSciNet  MATH  Google Scholar 

  20. J.P. May, Geometry of interated loopspaces, Springer-Verlag Lecture Notes in Mathematics #271.

    Google Scholar 

  21. J.P. May (with contributions by Frank Quinn, Nigel Ray and Jørgen Tornehave), E∞-ring spaces and E∞-ring spectra, Springer-Verlag Lecture Notes in Mathematics #577.

    Google Scholar 

  22. J. Neisendorfer, Primary homotopy theory, Mem. A.M. Soc. #232(1980).

    Google Scholar 

  23. D.G. Quillen, Higher algebraic K-theory I, Springer-Verlag Lecture Notes in Mathematics #341, pp 77–139.

    Google Scholar 

  24. D.G. Quillen, On the cohomology and K-theory of the general linear group over a finite field, Annals of Maths. (3)94(1971) 549–572.

    Article  MathSciNet  MATH  Google Scholar 

  25. D.G. Quillen, Higher algebraic K-theory, Proc. I.C.M. Vancouver (1974) 171–176.

    Google Scholar 

  26. V.P. Snaith, Algebraic cobordism and K-theory, Mem. A.M. Soc. #221 (1979).

    Google Scholar 

  27. V.P. Snaith, Algebraic K-theory and localised stable homotopy theory, to appear Mem. A.M. Soc.

    Google Scholar 

  28. V.P. Snaith, A brief survey of Bott periodic algebraic K-theory, to appear Proc. "Current Trends in Algebraic Topology", Can. Math. Soc. Conf. Proc. Series.

    Google Scholar 

  29. V.P. Snaith, An upper bound for algebraic K-theory, Proc.Conf. on algebraic K-theory, Bielefeld 1982, Springer-Verlag Lecture Notes in Mathematics 1046, pp. 329–348.

    Google Scholar 

  30. V.P. Snaith, Towards the Lichtenbaum-Quillen conjecture, Proc. Conf. on algebraic K-theory, Bielefeld, 1982, Springer-Verlag Lecture Notes in Mathematics 1046, pp. 349–356.

    Google Scholar 

  31. C. Soulé, K-théorie des anneaux d'entiers de corp de nombres et cohomologie étale, Inventiones Math. 55(1979) 251–295.

    Article  MATH  Google Scholar 

  32. E. Spanier, Algebraic Topology, McGraw-Hill (1966).

    Google Scholar 

  33. R.W. Thomason, Algebraic K-theory and étale cohomology, preprint M.I.T. (1981).

    Google Scholar 

  34. R.W. Thomason, The Lichtenbaum-Quillen conjecture for K/l*[1/β], to appear, Proc. "Current Trends in Algebraic Topology", Can. Math. Soc. Conf. Proc. Series.

    Google Scholar 

  35. C.A. Weibel, Mayer-Vietoris sequences, Oberwolfach 1980, Springer-Verlag Lecture Notes in Mathematics 966, pp. 390–407.

    Google Scholar 

  36. G.W. Whitehead, Elements of homotopy theory, Grad. Texts in Mathematics #61, Springer-Verlag.

    Google Scholar 

  37. F.R.Cohen, J.C.Moore & J.Neisendorfer, Moore spaces have exponents, preprint (1982).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, The University of Western Ontario, N6A 5B7, London, Ontario, Canada

    Victor Snaith

Authors
  1. Victor Snaith
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Ib H. Madsen Robert A. Oliver

Rights and permissions

Reprints and permissions

Copyright information

© 1984 Springer-Verlag

About this paper

Cite this paper

Snaith, V. (1984). Unitary K-homology and the lichtenbaum-quillen conjecture on the algebraic K-theory of schemes. In: Madsen, I.H., Oliver, R.A. (eds) Algebraic Topology Aarhus 1982. Lecture Notes in Mathematics, vol 1051. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0075565

Download citation

  • DOI: https://doi.org/10.1007/BFb0075565

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12902-8

  • Online ISBN: 978-3-540-38782-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation