Skip to main content
Log in

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.

Bibliography

  1. R. Arens, The group of invertible elements of a commutative Banach algebra,Studia Math., Seria Spec., 1963.

  2. C. A. Berger andL. A. Coburn, One parameter semigroups of isometries,Bull. Amer. Math. Soc.

  3. H. Bohr, Über fast periodische ebene Bewegungen,Comment Math. Helv.,4 (1934), 51–64.

    Article  Google Scholar 

  4. H. Bohr,Almost periodic functions, New York, Chelsea, 1947.

    Google Scholar 

  5. M. Breuer, Fredholm Theories in von Neumann Algebras, I,Math. Ann.,178 (1968), 243–254.

    Article  MATH  Google Scholar 

  6. M. Breuer, Fredholm Theories in von Neumann Algebras, II,Math. Ann.,180 (1969), 313–325.

    Article  MATH  Google Scholar 

  7. R. C. Busby, Double centralizers and extensions of C*-algebras,Trans. Amer. Math. Soc.,132 (1968), 79–99.

    Article  MATH  Google Scholar 

  8. L. A. Coburn, The C*-algebra generated by an isometry, II,Trans. Amer. Math. Soc.,137 (1969), 211–217.

    Article  MATH  Google Scholar 

  9. L. A. Coburn andR. G. Douglas, Translation operators on the half-line,Proc. Nat. Acad. Sci. U.S.A.,62 (1969), 1010–1013.

    Article  MATH  Google Scholar 

  10. L. A. Coburn andR. G. Douglas, C*-algebras of operators on a half space, I,Publ. Math. I.H.E.S., no 40 (1971), 59–68.

  11. J. Dixmier,Les algèbres d’opérateurs dans l’espace hilbertien (Algèbres de von Neumann), Paris, Gauthier-Villars, 1957.

    MATH  Google Scholar 

  12. R. G. Douglas andR. Howe,On the C*-algebra of Toeplitz operators on the quarter-plane (to appear).

  13. E. R. Van Kampen, On almost periodic functions of constant absolute value,J. London Math. Soc.,12 (1937), 3–6.

    Article  MATH  Google Scholar 

  14. H. L. Royden, On the multiplicative group of function algebras,Stanford Univ. Tech. Report no 18 (1960).

Download references

Author information

Authors and Affiliations

Authors

Additional information

Research supported by grants of the National Science Foundation.

Fellow of Alfred P. Sloan Foundation.

About this article

Cite this article

Coburn, L.A., Douglas, R.G., Schaeffer, D.G. et al. C*-algebras of operators on a half-space II: Index theory. Publications Mathématiques de L’Institut des Hautes Scientifiques 40, 69–79 (1971). https://doi.org/10.1007/BF02684694

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02684694

Keywords

Navigation