Skip to main content
Log in

A class ofC *-algebras and topological Markov chains

  • Published:
Inventiones mathematicae Aims and scope

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

Access this article

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

Instant access to the full article PDF.

References

  1. Arveson, W.: Notes on extensions ofC *-algebras. Duke Math. J.44, 329–355 (1977)

    Article  Google Scholar 

  2. Bratteli, O.: Inductive limits of finite-dimensionalC *-algebras. Trans. A.M.S.171, 195–234 (1972)

    Google Scholar 

  3. Bowen, R., Franks, J.: Homology for zero-dimensional nonwandering sets. Ann. Math.106, 73–92 (1977)

    Google Scholar 

  4. Brown, L.G.: Stable isomorphism of hereditary subalgebras ofC *-algebras. Pac. J. Math.71, 335–348 (1977)

    Google Scholar 

  5. Cuntz, J.: SimpleC *-algebras generated by isometries. Commun. Math. Phys.57, 173–185 (1977)

    Google Scholar 

  6. Cuntz, J.: Automorphisms of certain simpleC *-algebras. Proc. of “Bielefeld Encounters in Mathematics and Physics II” in press (1979)

  7. Denker, M., Grillenberger, Ch., Sigmund, K.: Ergodic Theory on compact spaces. Lecture Notes in Mathematics, Vol. 527. Berlin-Heidelberg-New York: Springer 1976

    Google Scholar 

  8. Elliott, G.A.: On the classification of inductive limits of sequences of semi-simple finite-dimensional algebras. J. Algebra38, 29–44 (1976)

    Article  Google Scholar 

  9. Krieger, W.: On topological Markov chains, Dynamical Systems II. Warsaw June 27–July 2. 1977. Soc. Math. de France, Astérisque50, 193–196 (1977)

    Google Scholar 

  10. Krieger, W.: On a dimension for a class of homeomorphism groups. Preprint

  11. Krieger, W.: On dimension functions and topological Markov chains. Invent. math.56, 239–250 (1980)

    Google Scholar 

  12. Parry, B., Sullivan, D.: A topological invariant of flows on O-dimensional spaces. Topology14, 297–299 (1975)

    Article  Google Scholar 

  13. Paschke, W., Salinas, N.: Matrix algebras overO n . Preprint

  14. Pedersen, G.K.:C *-algebras and their automorphism groups. London, New York, San Francisco: Academic Press 1979

    Google Scholar 

  15. Pimsner, M., Popa, S.: The Ext-groups of someC *-algebras considered by J. Cuntz. Rev. Roum. Math. Pures et Appl.23, 1096–1076 (1978)

    Google Scholar 

  16. van der Waerden, B.L.: Algebra, Zweiter Teil, 5. Aufl. Berlin-Heidelberg-New York: Springer 1967

    Google Scholar 

  17. Voiculescu, D.: A non-commutative Weyl-von Neumann theorem. Rev. Roum. Pures et appl.21, 97–113 (1976)

    Google Scholar 

  18. Williams, R.F.: Classification of subshifts of finite type. Ann. of Math.98, 120–153 (1973) Errata. Ann. of Math.99, 380–381 (1974)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cuntz, J., Krieger, W. A class ofC *-algebras and topological Markov chains. Invent Math 56, 251–268 (1980). https://doi.org/10.1007/BF01390048

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01390048

Keywords

Navigation