Skip to main content

Group actions on Irees and K-amenability

Part of the Lecture Notes in Mathematics book series (LNM,volume 1132)

Keywords

  • Dirac Operator
  • Compact Group
  • Discrete Series
  • Open Subgroup
  • Maximal Compact Subgroup

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. C.A. Akemann and M.E. Walter, Unbounded negative definite functions, Can. J. Math. 33 (1981), 862–871.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. A. Connes, The Chern character in K-homology, Preprint I.H.E.S. (1982).

    Google Scholar 

  3. A. Connes and H. Moscovici, The L2-index theorem for homogeneous spaces of Lie groups, Ann. of Math. 115 (1982), 291–330.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. J. Cuntz, K-theoretic amenability for discrete groups, Preprint Univ. of Pennsylvania (1982).

    Google Scholar 

  5. C. Delaroche and A.A. Kirillov, Sur les relations entre l’espace dual d’un groupe et la structure de ses sous-groupes fermés, Séminaire Bourbaki, 1967–68, Exposé 343.

    Google Scholar 

  6. J. Dixmier, Les C*-algèbres et leurs représentations, 2nde éd., Gauthier-Villars, 1969.

    Google Scholar 

  7. P. Julg and A. Valette, K-moyennabilité pour les groupes opérant sur les arbres, to appear in Comptes-Rendus Acad. Sc. (Paris).

    Google Scholar 

  8. G.G. Kasparov, Hilbert C*-modules: theorems of Stinespring and Voiculescu, J. Oper. Th. 4 (1980), 133–150.

    MathSciNet  MATH  Google Scholar 

  9. G.G. Kasparov, K-theory, group C*-algebras, and higher signatures (conspectus), Preprint Chernogolovka (1981).

    Google Scholar 

  10. G.G. Kasparov, The index of elliptic operators, K-theory and Lie group representations, Doklady Akad. Nauk. SSSR 268 (1983), 533–537

    MathSciNet  MATH  Google Scholar 

  11. G.G. Kasparov, Lorentz groups: K-theory of unitary representations and crossed products, Preprint Chernogolovka (April 1983).

    Google Scholar 

  12. M. Pimsner and D. Voiculescu, K-groups of reduced crossed products by free groups, J. Oper. Theory 8 no1 (1982).

    Google Scholar 

  13. J.P. Serre, Arbres, amalgames, SL2, Astérisque no46 (1977).

    Google Scholar 

  14. J. Tits, Reductive groups over local fields, in Proc. Symp. Pure Math. 33 (1979), 29–69.

    CrossRef  MathSciNet  MATH  Google Scholar 

  15. Y. Watatani, Property (T) of Kazhdan implies property (FA) of Serre, Preprint 1981.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1985 Springer-Verleg

About this paper

Cite this paper

Julg, P., Valette, A. (1985). Group actions on Irees and K-amenability. In: Araki, H., Moore, C.C., Stratila, ŞV., Voiculescu, DV. (eds) Operator Algebras and their Connections with Topology and Ergodic Theory. Lecture Notes in Mathematics, vol 1132. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074889

Download citation

  • DOI: https://doi.org/10.1007/BFb0074889

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15643-7

  • Online ISBN: 978-3-540-39514-0

  • eBook Packages: Springer Book Archive