Mathematische Annalen

, Volume 292, Issue 1, pp 111–126 | Cite as

Reduction of real rank in inductive limits ofC*-algebras

  • Bruce Blackadar
  • Ola Bratteli
  • George A. Elliott
  • Alexander Kumjian

Mathematics Subject Classification (1991)



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  1. [BD]
    Bunce, J.W., Deddens, J.A.: A family of simpleC *-algebras related to weighted shift operators. J. Funct. Anal.19, 13–24 (1975)CrossRefGoogle Scholar
  2. [BEEK]
    Bratteli, O., Elliott, G.A., Evans, D.E., Kishimoto, A.: Finite group actions on AF algebras obtained by folding the interval.K-theory (to appear)Google Scholar
  3. [BK]
    Blackadar, B., Kumjian, A.: Skew products of relations and the structure of simpleC *-algebras. Math. Z.189, 55–63 (1985)Google Scholar
  4. [Bla1]
    Blackadar, B.: Comparison theory for simpleC *-algebras. In: Evans, D.E., Takesaki, M. (eds.) Operator algebras and applications, Vol. 1. (Lond. Math. Soc. Lect. Note Ser., vol. 135, pp. 21–54) Cambridge: Cambridge University Press 1988Google Scholar
  5. [Bla2]
    Blackadar, B.: Symmetries of the CAR algebra. Ann. Math.131, 589–623 (1990)Google Scholar
  6. [BP]
    Brown, L.G., Pedersen, G.K.:C *-algebras of real rank zero. (Preprint)Google Scholar
  7. [Bra1]
    Bratteli, O.: Inductive limits of finite-dimensionalC *-algebras. Trans. Am. Math. Soc.171, 195–234 (1972)Google Scholar
  8. [Bra2]
    Bratteli, O.: Crossed products of UHF algebras by product type actions. Duke Math. J.46, 1–23 (1979)Google Scholar
  9. [CE]
    Choi, M.-D., Elliott, G.A.: Density of the self-adjoint elements with finite spectrum in an irrational rotationC *-algebra. Math. Scand.67, 73–86 (1990)Google Scholar
  10. [DN]
    Dadarlat, M., Nemethi, A.: Shape theory and connectiveK-theory. J. Oper. Theory23, 207–291 (1990)Google Scholar
  11. [Ell]
    Elliott, G.A.: On the classification ofC *-algebras of real rank zero. (Preprint)Google Scholar
  12. [Eva]
    Evans, D.E.: Gauge actions onO A. J. Oper. Theory7, 79–100 (1982)Google Scholar
  13. [EK]
    Evans, D.E., Kishimoto, A.: Compact group actions on UHF algebras obtained by folding the interval. J. Funct. Anal.98, 346–360 (1991)Google Scholar
  14. [Gli]
    Glimm, J.: On a certain class of operator algebras. Trans. Am. Math. Soc.95, 318–340 (1960)Google Scholar
  15. [Kum]
    Kumjian, A.: An involutive automorphism of the Bunce-Deddens algebra. C.R. Math. Acad. Sci., Soc. R. Can.10, 217–218 (1988)Google Scholar
  16. [Rue]
    Ruelle, D.: Statistical mechanics, rigorous results. Amsterdam: Benjamin 1969Google Scholar

Copyright information

© Springer-Verlag 1992

Authors and Affiliations

  • Bruce Blackadar
    • 1
  • Ola Bratteli
    • 2
  • George A. Elliott
    • 3
    • 4
  • Alexander Kumjian
    • 1
  1. 1.Department of MathematicsUniversity of RenoRenoUSA
  2. 2.Institute of Mathematical SciencesUniversity of TrondheimTrondheim-NTHNorway
  3. 3.Department of MathematicsUniversity of TorontoTorontoCanada
  4. 4.Mathematics InstituteUniversity of CopenhagenCopenhagen ØDenmark

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