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Stable rank of the disc algebra


Authors: P. W. Jones, D. Marshall and T. Wolff
Journal: Proc. Amer. Math. Soc. 96 (1986), 603-604
MSC: Primary 46J15; Secondary 30H05, 46J20
DOI: https://doi.org/10.1090/S0002-9939-1986-0826488-2
MathSciNet review: 826488
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Abstract: We prove that the Bass stable rank of the disc algebra is one.


References [Enhancements On Off] (What's this?)

  • [1] L. Carleson, The corona theorem, Proc. 15th Scandinavian Congress (Oslo, 1968), Lecture Notes in Math., vol. 118, Springer-Verlag, Berlin and New York, 1970. MR 0264100 (41:8696)
  • [2] M. Rieffel, Dimension and stable rank in the $ K$-theory of $ {C^*}$-algebras, Proc. London Math. Soc. (3) 46 (1983), 301-333. MR 693043 (84g:46085)
  • [3] W. Rudin, Real and complex analysis (2nd ed.), McGraw-Hill, New York, 1974. MR 0344043 (49:8783)

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DOI: https://doi.org/10.1090/S0002-9939-1986-0826488-2
Article copyright: © Copyright 1986 American Mathematical Society

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