Skip to main content
SpringerLink
Log in

Reduction of real rank in inductive limits ofC *-algebras

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Bunce, J.W., Deddens, J.A.: A family of simpleC *-algebras related to weighted shift operators. J. Funct. Anal.19, 13–24 (1975)

    Article  Google Scholar 

  2. 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)

  3. Blackadar, B., Kumjian, A.: Skew products of relations and the structure of simpleC *-algebras. Math. Z.189, 55–63 (1985)

    Google Scholar 

  4. 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 1988

    Google Scholar 

  5. Blackadar, B.: Symmetries of the CAR algebra. Ann. Math.131, 589–623 (1990)

    Google Scholar 

  6. Brown, L.G., Pedersen, G.K.:C *-algebras of real rank zero. (Preprint)

  7. Bratteli, O.: Inductive limits of finite-dimensionalC *-algebras. Trans. Am. Math. Soc.171, 195–234 (1972)

    Google Scholar 

  8. Bratteli, O.: Crossed products of UHF algebras by product type actions. Duke Math. J.46, 1–23 (1979)

    Google Scholar 

  9. 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. Dadarlat, M., Nemethi, A.: Shape theory and connectiveK-theory. J. Oper. Theory23, 207–291 (1990)

    Google Scholar 

  11. Elliott, G.A.: On the classification ofC *-algebras of real rank zero. (Preprint)

  12. Evans, D.E.: Gauge actions onO A . J. Oper. Theory7, 79–100 (1982)

    Google Scholar 

  13. 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. Glimm, J.: On a certain class of operator algebras. Trans. Am. Math. Soc.95, 318–340 (1960)

    Google Scholar 

  15. 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. Ruelle, D.: Statistical mechanics, rigorous results. Amsterdam: Benjamin 1969

    Google Scholar 

Download references

Author information

Author notes

  1. Ola Bratteli

    Present address: Methematics Institute, University of Oslo, Blindern, P.B. 1053, N-0136, Oslo 3, Norway

Authors and Affiliations

  1. Department of Mathematics, University of Reno, 89557, Reno, NV, USA

    Bruce Blackadar & Alexander Kumjian

  2. Institute of Mathematical Sciences, University of Trondheim, N-7034, Trondheim-NTH, Norway

    Ola Bratteli

  3. Department of Mathematics, University of Toronto, M5S 1A1, Toronto, Canada

    George A. Elliott

  4. Mathematics Institute, University of Copenhagen, DK-2100, Copenhagen Ø, Denmark

    George A. Elliott

Authors
  1. Bruce Blackadar
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ola Bratteli
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. George A. Elliott
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Alexander Kumjian
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Partly supported by NSF grant DMS-8805342

Partly supported by NSERC, NAVF and ANU

Partly supported by NSF grant DMS-8805342

Rights and permissions

Reprints and permissions

About this article

Cite this article

Blackadar, B., Bratteli, O., Elliott, G.A. et al. Reduction of real rank in inductive limits ofC *-algebras. Math. Ann. 292, 111–126 (1992). https://doi.org/10.1007/BF01444612

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01444612

Mathematics Subject Classification (1991)

Search

Navigation