Inventiones mathematicae

, Volume 63, Issue 1, pp 25–40 | Cite as

A class ofC*-algebras and topological markov chains II: Reducible chains and the ext-functor forC*-algebras

  • J. Cuntz


Markov Chain Topological Markov Chain Reducible Chain 
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  1. 1.
    Bowen, R., Franks, J.: Homology for zero-dimensional nonwandering sets, Ann. of Math.106, 73–92 (1977)Google Scholar
  2. 2.
    Brown, L.G.: Stable isomorphism of hereditary subalgebras ofC *-algebras, Pac. J. Math.71, 335–348 (1977)Google Scholar
  3. 3.
    Connes, A.: An analogue of the Thom isomorphism for cross products of aC *-algebra by an action of ℝ, Advances in Math., in press (1981)Google Scholar
  4. 4.
    Cuntz, J., Krieger, W.: A class ofC *-algebras and topological Markov chains, Inventiones math.56, 251–268 (1980)Google Scholar
  5. 5.
    Cuntz, J.:K-theory for certainC *-algebras. Ann. of Math., in press (1980)Google Scholar
  6. 6.
    Cuntz, J.:K-theory for certainC *-algebras II, J. Operator Theory, in press (1980)Google Scholar
  7. 7.
    Karoubi, M., Villamayor, O.:K-théorie algebrique etK-théorie topologique I. Math. Scand,28, 265–307 (1971)Google Scholar
  8. 8.
    Kasparov, G.G.:K-functor in the extension theory ofC *-algebras, Funktional'nyi Analiz i Ego Prilozheniya13, 73–74 (1979)Google Scholar
  9. 9.
    Parry, B., Sullivan, D.: A topological invariant of flows on 0-dimensional spaces, Topology14, 297–299 (1975)Google Scholar
  10. 10.
    Pimsner, M., Popa, S., Voiculescu, D.: HomogeneousC *-extensions ofC(X)⊗K(H), Part I, J. Operator Theory1, 55–108 (1979)Google Scholar
  11. 11.
    Pimsner, M., Popa, S., Voiculescu, D.: HomogeneousC *-extensions ofC(X)⊗K(H), Part II, J. Operator Theory4 (1980)Google Scholar
  12. 12.
    Pimsner, M., Voiculescu, D.: Exact sequences forK-groups and Ext-groups of certain crossproductsC *-algebras, J. Operator Theory4, 93–118 (1980)Google Scholar
  13. 13.
    Renault, J.: A groupoid approach toC *-algebras, Springer Lecture Notes in Mathematics 793, Berlin-Heidelberg-New York: Springer-Verlag 1980Google Scholar
  14. 14.
    Schochet, C.: Homogeneous extensions ofC *-algebras andK-theory, preprintGoogle Scholar
  15. 15.
    Shub, M.: Stabilité globale des systèmes dynamiques, Astérisque, Fasc. 56 (1978)Google Scholar

Copyright information

© Springer-Verlag 1981

Authors and Affiliations

  • J. Cuntz
    • 1
  1. 1.Institut für Angewandte MathematikUniversität HeidelbergHeidelberg 1Federal Republic of Germany

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