Skip to main content

C*-Algebras and K-theory

Algebraic K- And L-Theory

Part of the Lecture Notes in Mathematics book series (LNM,volume 763)

Keywords

  • Fundamental Group
  • Direct Summand
  • Banach Algebra
  • Pseudodifferential Operator
  • Fredholm Operator

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   54.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   69.95
Price excludes VAT (Canada)
  • 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. M. Karoubi, Algebres de Clifford et K-théorie, Ann.Sci. Ecole Norm.Super., t.1, N2 (1968), 161–270.

    MathSciNet  MATH  Google Scholar 

  2. А. С. Мищенко, Бесконечномерные предсдавления дискретных групп и высше сигнатуры. Нзв. АН СССР, сер. Матем., 38, 1974, 84–106

    Google Scholar 

  3. Shih Weishu, Fiber cobordism and the index of a family of elliptic differential operators, Bull. Amer.Math. Soc., v.72, N 6 (1966).

    Google Scholar 

  4. M.F. Atiyah, I.M. Singer, The index of elliptic operators, I, Ann.Math.,Ser.2, 87:3 (1968), 484–530.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. G. Luke, Pseudo-differential operators on Hilbert bundles, J.Diff.Equations, 12:3 (1972), 566–589.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. I.M. Singer, Some remarks on operator theory and index theory, Lecture Notes in Math., N 575 (1977), 128–138.

    CrossRef  MathSciNet  Google Scholar 

  7. G. Lusztig, Novikov's higher signature and families of elliptic operators, J.Diff.Geometry, 7 (1971), 229–256.

    MathSciNet  MATH  Google Scholar 

  8. А. С. Мищенко, Гомотопические инварианты неодносвязных многообразний, I Нзв. АН СССР, сер. Матем., 34, 1970, 501–514

    Google Scholar 

  9. А. С. Мищенко, Гомотопические инварианты неодносвязных многообразний, 3 Нзв. АН СССК, сер. Матем. 35, 1971, 1316–1355

    Google Scholar 

  10. A. A. Ranicki, preprint

    Google Scholar 

  11. Ф. С. Мищенко, Ю. П. Соловьев, О бесконечномерных предстаилениях фундаментальных групп и формулы типв Хирцебруха, ДВН СССР, 234, No. 4, 1977

    Google Scholar 

  12. А. С. Мищенко, О фредгольмовых представлениях дискретных групп, функц. анализ, 9:2▽ 1975, 36–41

    Google Scholar 

  13. Ю. П. Соловьев, Гомотопические инварианты рациональных гомологиеских многообразий, ДАН СССР, 230:I, 1976, 41–43

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1979 Springer-Verlag

About this paper

Cite this paper

Mishchenko, A.S. (1979). C*-Algebras and K-theory. In: Dupont, J.L., Madsen, I.H. (eds) Algebraic Topology Aarhus 1978. Lecture Notes in Mathematics, vol 763. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088090

Download citation

  • DOI: https://doi.org/10.1007/BFb0088090

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09721-1

  • Online ISBN: 978-3-540-38520-2

  • eBook Packages: Springer Book Archive