Skip to main content

Twisted products of Banach algebras and third Čech cohomology

Part of the Lecture Notes in Mathematics book series (LNM,volume 575)

Keywords

  • Banach Space
  • Banach Algebra
  • Isomorphism Class
  • Homotopy Group
  • Lift Property

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   29.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   39.95
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. Arens, R., The group of invertible elements of a commutative Banach algebra, Studia Math. (1963), 21–23.

    Google Scholar 

  2. To what extent does the space of maximal ideals determine the algebra?, Function Algebras, Birtel, Scott Foresman, Chicago, 1966.

    Google Scholar 

  3. Dixmier, J. and Douady, A., Champs continus d'espaces Hilbertiens et C*-algebras, Bull. Soc. Mat. France, 91 (1963), 227–284.

    MathSciNet  MATH  Google Scholar 

  4. Eidlin, V. L., The topological characteristics of the space of maximal ideals of a Banach algebra, Vestnik Leningrad Univ., 22 (1967), 173–174.

    MathSciNet  MATH  Google Scholar 

  5. Forster, O., Functiontheoretische Hilfsmittel im der theorie der kommutativen Banach-algebren (in manuscript).

    Google Scholar 

  6. Gamelin, T. W., Uniform Algebras, Prentice-Hall, Englewood Cliffs, N. J., 1969.

    MATH  Google Scholar 

  7. Grothendieck, A., Le group de Brauer I: algébras d'azumaya et interprétations diverses, Séminaire Bourbaki, 1964/65, Expose 290.

    Google Scholar 

  8. Husemöller, D., Fiber bundles, McGraw-Hill, New York, 1966.

    Google Scholar 

  9. Nachbin, L., Topology on spaces of holomorphic mappings, Erg. Math Band 47, Springer-Verlag, Berlin, 1969.

    CrossRef  MATH  Google Scholar 

  10. Novodvorskii, M. E., Certain homotopical invariants of spaces of maximal ideals, Mat. Zametki, 1 (1967), 487–494.

    MathSciNet  Google Scholar 

  11. Raeburn, I., The relationship between a commutative Banach algebra and its maximal ideal space (to appear).

    Google Scholar 

  12. Raeburn, I., and Taylor, J. L., Hochschild cohomology and perturbations of Banach algebras (to appear).

    Google Scholar 

  13. Royden, H. L., Function algebras, Bull. Amer. Math. Soc., 69 (1963), 281–298.

    CrossRef  MathSciNet  MATH  Google Scholar 

  14. Shilov, G. E., On decomposition of a commutative normed ring in a direct sum of ideals, Math. Sb., 32 (1953), 353–364; Amer. Math. Soc. Transl. (2) 1 (1955), 37–48.

    Google Scholar 

  15. Spanier, E. H., Algebraic Topology, McGraw-Hill, New York, 1966.

    MATH  Google Scholar 

  16. Taylor, J. L., Topological invariants of the maximal ideal space of a Banach algebra, Adv. in Math. 19 (1976), 149–206.

    CrossRef  MATH  Google Scholar 

  17. Waelbroeck, L., Topological vector spaces and algebras, Springer-Verlag Lecture Notes in Math., No. 230, Springer-Verlag, Berlin, 1971.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1977 Springer-Verlag Berlin · Heidelberg

About this paper

Cite this paper

Taylor, J.L. (1977). Twisted products of Banach algebras and third Čech cohomology. In: Morrel, B.B., Singer, I.M. (eds) K-Theory and Operator Algebras. Lecture Notes in Mathematics, vol 575. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0095709

Download citation

  • DOI: https://doi.org/10.1007/BFb0095709

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08133-3

  • Online ISBN: 978-3-540-37423-7

  • eBook Packages: Springer Book Archive